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Finding the Fourth Proportional to 22,712, 31,343.04 and 12,776

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Solution

The fourth proportional to 22,712, 31,343.04 and 12,776 is: 17,631.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,712 : 31,343.04 = 12,776 : x
  2. Step 2: Convert to fraction form
    22,712/31,343.04 = 12,776/x
  3. Step 3: Cross multiply
    22,712x = 31,343.04 × 12,776
  4. Step 4: Simplify right side
    22,712x = 400,438,679.04
  5. Step 5: Solve for x
    x = 400,438,679.04/22,712
  6. Step 6: Final answer
    x = 17,631.15

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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.