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Finding the Fourth Proportional to 22,740.60, 31,381 and 12,670.14

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Solution

The fourth proportional to 22,740.60, 31,381 and 12,670.14 is: 17,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,740.60 : 31,381 = 12,670.14 : x
  2. Step 2: Convert to fraction form
    22,740.60/31,381 = 12,670.14/x
  3. Step 3: Cross multiply
    22,740.60x = 31,381 × 12,670.14
  4. Step 4: Simplify right side
    22,740.60x = 397,601,663.34
  5. Step 5: Solve for x
    x = 397,601,663.34/22,740.60
  6. Step 6: Final answer
    x = 17,484.22

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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.