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Finding the Fourth Proportional to 24,432.72, 36,649.44 and 9,643.74

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Solution

The fourth proportional to 24,432.72, 36,649.44 and 9,643.74 is: 14,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,432.72 : 36,649.44 = 9,643.74 : x
  2. Step 2: Convert to fraction form
    24,432.72/36,649.44 = 9,643.74/x
  3. Step 3: Cross multiply
    24,432.72x = 36,649.44 × 9,643.74
  4. Step 4: Simplify right side
    24,432.72x = 353,437,670.51
  5. Step 5: Solve for x
    x = 353,437,670.51/24,432.72
  6. Step 6: Final answer
    x = 14,465.75

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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.