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Finding the Fourth Proportional to 16,588.98, 22,892.57 and 9,515.25

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Solution

The fourth proportional to 16,588.98, 22,892.57 and 9,515.25 is: 13,130.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,588.98 : 22,892.57 = 9,515.25 : x
  2. Step 2: Convert to fraction form
    16,588.98/22,892.57 = 9,515.25/x
  3. Step 3: Cross multiply
    16,588.98x = 22,892.57 × 9,515.25
  4. Step 4: Simplify right side
    16,588.98x = 217,828,479.12
  5. Step 5: Solve for x
    x = 217,828,479.12/16,588.98
  6. Step 6: Final answer
    x = 13,130.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.