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Finding the Fourth Proportional to 24,509.60, 36,742.80 and 14,638.40

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Solution

The fourth proportional to 24,509.60, 36,742.80 and 14,638.40 is: 21,944.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.60 : 36,742.80 = 14,638.40 : x
  2. Step 2: Convert to fraction form
    24,509.60/36,742.80 = 14,638.40/x
  3. Step 3: Cross multiply
    24,509.60x = 36,742.80 × 14,638.40
  4. Step 4: Simplify right side
    24,509.60x = 537,855,803.52
  5. Step 5: Solve for x
    x = 537,855,803.52/24,509.60
  6. Step 6: Final answer
    x = 21,944.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.