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Finding the Fourth Proportional to 16,250.80, 22,417.84 and 9,875.70

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Solution

The fourth proportional to 16,250.80, 22,417.84 and 9,875.70 is: 13,623.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,250.80 : 22,417.84 = 9,875.70 : x
  2. Step 2: Convert to fraction form
    16,250.80/22,417.84 = 9,875.70/x
  3. Step 3: Cross multiply
    16,250.80x = 22,417.84 × 9,875.70
  4. Step 4: Simplify right side
    16,250.80x = 221,391,862.49
  5. Step 5: Solve for x
    x = 221,391,862.49/16,250.80
  6. Step 6: Final answer
    x = 13,623.44

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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.