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Finding the Fourth Proportional to 24,714.72, 34,106.40 and 13,536.96

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Solution

The fourth proportional to 24,714.72, 34,106.40 and 13,536.96 is: 18,681.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714.72 : 34,106.40 = 13,536.96 : x
  2. Step 2: Convert to fraction form
    24,714.72/34,106.40 = 13,536.96/x
  3. Step 3: Cross multiply
    24,714.72x = 34,106.40 × 13,536.96
  4. Step 4: Simplify right side
    24,714.72x = 461,696,972.54
  5. Step 5: Solve for x
    x = 461,696,972.54/24,714.72
  6. Step 6: Final answer
    x = 18,681.05

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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.