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Finding the Fourth Proportional to 22,842.04, 31,501 and 14,881.36

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Solution

The fourth proportional to 22,842.04, 31,501 and 14,881.36 is: 20,522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.04 : 31,501 = 14,881.36 : x
  2. Step 2: Convert to fraction form
    22,842.04/31,501 = 14,881.36/x
  3. Step 3: Cross multiply
    22,842.04x = 31,501 × 14,881.36
  4. Step 4: Simplify right side
    22,842.04x = 468,777,721.36
  5. Step 5: Solve for x
    x = 468,777,721.36/22,842.04
  6. Step 6: Final answer
    x = 20,522.59

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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.