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Finding the Fourth Proportional to 22,686.48, 31,307.58 and 12,614.40

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Solution

The fourth proportional to 22,686.48, 31,307.58 and 12,614.40 is: 17,408.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,686.48 : 31,307.58 = 12,614.40 : x
  2. Step 2: Convert to fraction form
    22,686.48/31,307.58 = 12,614.40/x
  3. Step 3: Cross multiply
    22,686.48x = 31,307.58 × 12,614.40
  4. Step 4: Simplify right side
    22,686.48x = 394,926,337.15
  5. Step 5: Solve for x
    x = 394,926,337.15/22,686.48
  6. Step 6: Final answer
    x = 17,408.00

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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.