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Finding the Fourth Proportional to 16,312.76, 24,472.18 and 7,547.66

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Solution

The fourth proportional to 16,312.76, 24,472.18 and 7,547.66 is: 11,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,312.76 : 24,472.18 = 7,547.66 : x
  2. Step 2: Convert to fraction form
    16,312.76/24,472.18 = 7,547.66/x
  3. Step 3: Cross multiply
    16,312.76x = 24,472.18 × 7,547.66
  4. Step 4: Simplify right side
    16,312.76x = 184,707,694.10
  5. Step 5: Solve for x
    x = 184,707,694.10/16,312.76
  6. Step 6: Final answer
    x = 11,322.90

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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.