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Finding the Fourth Proportional to 24,475.35, 36,707.49 and 11,320.50

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Solution

The fourth proportional to 24,475.35, 36,707.49 and 11,320.50 is: 16,978.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,475.35 : 36,707.49 = 11,320.50 : x
  2. Step 2: Convert to fraction form
    24,475.35/36,707.49 = 11,320.50/x
  3. Step 3: Cross multiply
    24,475.35x = 36,707.49 × 11,320.50
  4. Step 4: Simplify right side
    24,475.35x = 415,547,140.55
  5. Step 5: Solve for x
    x = 415,547,140.55/24,475.35
  6. Step 6: Final answer
    x = 16,978.19

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