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Finding the Fourth Proportional to 22,486.54, 31,031.25 and 12,415

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Solution

The fourth proportional to 22,486.54, 31,031.25 and 12,415 is: 17,132.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,486.54 : 31,031.25 = 12,415 : x
  2. Step 2: Convert to fraction form
    22,486.54/31,031.25 = 12,415/x
  3. Step 3: Cross multiply
    22,486.54x = 31,031.25 × 12,415
  4. Step 4: Simplify right side
    22,486.54x = 385,252,968.75
  5. Step 5: Solve for x
    x = 385,252,968.75/22,486.54
  6. Step 6: Final answer
    x = 17,132.60

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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.