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Finding the Fourth Proportional to 22,931.91, 31,642.25 and 13,502.30

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Solution

The fourth proportional to 22,931.91, 31,642.25 and 13,502.30 is: 18,630.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,931.91 : 31,642.25 = 13,502.30 : x
  2. Step 2: Convert to fraction form
    22,931.91/31,642.25 = 13,502.30/x
  3. Step 3: Cross multiply
    22,931.91x = 31,642.25 × 13,502.30
  4. Step 4: Simplify right side
    22,931.91x = 427,242,926.45
  5. Step 5: Solve for x
    x = 427,242,926.45/22,931.91
  6. Step 6: Final answer
    x = 18,630.94

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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.