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Finding the Fourth Proportional to 22,487.25, 31,031.59 and 12,415.48

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Solution

The fourth proportional to 22,487.25, 31,031.59 and 12,415.48 is: 17,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,487.25 : 31,031.59 = 12,415.48 : x
  2. Step 2: Convert to fraction form
    22,487.25/31,031.59 = 12,415.48/x
  3. Step 3: Cross multiply
    22,487.25x = 31,031.59 × 12,415.48
  4. Step 4: Simplify right side
    22,487.25x = 385,272,085.01
  5. Step 5: Solve for x
    x = 385,272,085.01/22,487.25
  6. Step 6: Final answer
    x = 17,132.91

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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.