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Finding the Fourth Proportional to 16,385.16, 24,585.75 and 7,626.18

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Solution

The fourth proportional to 16,385.16, 24,585.75 and 7,626.18 is: 11,443.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385.16 : 24,585.75 = 7,626.18 : x
  2. Step 2: Convert to fraction form
    16,385.16/24,585.75 = 7,626.18/x
  3. Step 3: Cross multiply
    16,385.16x = 24,585.75 × 7,626.18
  4. Step 4: Simplify right side
    16,385.16x = 187,495,354.94
  5. Step 5: Solve for x
    x = 187,495,354.94/16,385.16
  6. Step 6: Final answer
    x = 11,443.00

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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.