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Finding the Fourth Proportional to 16,459.16, 24,689.88 and 5,931.32

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Solution

The fourth proportional to 16,459.16, 24,689.88 and 5,931.32 is: 8,897.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,459.16 : 24,689.88 = 5,931.32 : x
  2. Step 2: Convert to fraction form
    16,459.16/24,689.88 = 5,931.32/x
  3. Step 3: Cross multiply
    16,459.16x = 24,689.88 × 5,931.32
  4. Step 4: Simplify right side
    16,459.16x = 146,443,579.04
  5. Step 5: Solve for x
    x = 146,443,579.04/16,459.16
  6. Step 6: Final answer
    x = 8,897.39

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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.