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Finding the Fourth Proportional to 16,175.16, 24,248.30 and 6,312.14

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Solution

The fourth proportional to 16,175.16, 24,248.30 and 6,312.14 is: 9,462.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175.16 : 24,248.30 = 6,312.14 : x
  2. Step 2: Convert to fraction form
    16,175.16/24,248.30 = 6,312.14/x
  3. Step 3: Cross multiply
    16,175.16x = 24,248.30 × 6,312.14
  4. Step 4: Simplify right side
    16,175.16x = 153,058,664.36
  5. Step 5: Solve for x
    x = 153,058,664.36/16,175.16
  6. Step 6: Final answer
    x = 9,462.58

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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.