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Finding the Fourth Proportional to 15,931.80, 21,982.59 and 9,214.98

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Solution

The fourth proportional to 15,931.80, 21,982.59 and 9,214.98 is: 12,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,931.80 : 21,982.59 = 9,214.98 : x
  2. Step 2: Convert to fraction form
    15,931.80/21,982.59 = 9,214.98/x
  3. Step 3: Cross multiply
    15,931.80x = 21,982.59 × 9,214.98
  4. Step 4: Simplify right side
    15,931.80x = 202,569,127.20
  5. Step 5: Solve for x
    x = 202,569,127.20/15,931.80
  6. Step 6: Final answer
    x = 12,714.77

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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.