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Finding the Fourth Proportional to 24,277.40, 36,416.10 and 8,689.40

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Solution

The fourth proportional to 24,277.40, 36,416.10 and 8,689.40 is: 13,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,277.40 : 36,416.10 = 8,689.40 : x
  2. Step 2: Convert to fraction form
    24,277.40/36,416.10 = 8,689.40/x
  3. Step 3: Cross multiply
    24,277.40x = 36,416.10 × 8,689.40
  4. Step 4: Simplify right side
    24,277.40x = 316,434,059.34
  5. Step 5: Solve for x
    x = 316,434,059.34/24,277.40
  6. Step 6: Final answer
    x = 13,034.10

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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.