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Finding the Fourth Proportional to 22,487.86, 31,031.62 and 12,416.32

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Solution

The fourth proportional to 22,487.86, 31,031.62 and 12,416.32 is: 17,133.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,487.86 : 31,031.62 = 12,416.32 : x
  2. Step 2: Convert to fraction form
    22,487.86/31,031.62 = 12,416.32/x
  3. Step 3: Cross multiply
    22,487.86x = 31,031.62 × 12,416.32
  4. Step 4: Simplify right side
    22,487.86x = 385,298,524.04
  5. Step 5: Solve for x
    x = 385,298,524.04/22,487.86
  6. Step 6: Final answer
    x = 17,133.62

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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.