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Finding the Fourth Proportional to 22,970.72, 31,699.68 and 13,034.72

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Solution

The fourth proportional to 22,970.72, 31,699.68 and 13,034.72 is: 17,987.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.72 : 31,699.68 = 13,034.72 : x
  2. Step 2: Convert to fraction form
    22,970.72/31,699.68 = 13,034.72/x
  3. Step 3: Cross multiply
    22,970.72x = 31,699.68 × 13,034.72
  4. Step 4: Simplify right side
    22,970.72x = 413,196,452.89
  5. Step 5: Solve for x
    x = 413,196,452.89/22,970.72
  6. Step 6: Final answer
    x = 17,987.96

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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.