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Finding the Fourth Proportional to 22,615.91, 31,213.69 and 12,547.59

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Solution

The fourth proportional to 22,615.91, 31,213.69 and 12,547.59 is: 17,317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,615.91 : 31,213.69 = 12,547.59 : x
  2. Step 2: Convert to fraction form
    22,615.91/31,213.69 = 12,547.59/x
  3. Step 3: Cross multiply
    22,615.91x = 31,213.69 × 12,547.59
  4. Step 4: Simplify right side
    22,615.91x = 391,656,623.52
  5. Step 5: Solve for x
    x = 391,656,623.52/22,615.91
  6. Step 6: Final answer
    x = 17,317.75

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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.