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Finding the Fourth Proportional to 17,780.29, 24,536.88 and 9,714.06

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Solution

The fourth proportional to 17,780.29, 24,536.88 and 9,714.06 is: 13,405.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,780.29 : 24,536.88 = 9,714.06 : x
  2. Step 2: Convert to fraction form
    17,780.29/24,536.88 = 9,714.06/x
  3. Step 3: Cross multiply
    17,780.29x = 24,536.88 × 9,714.06
  4. Step 4: Simplify right side
    17,780.29x = 238,352,724.53
  5. Step 5: Solve for x
    x = 238,352,724.53/17,780.29
  6. Step 6: Final answer
    x = 13,405.45

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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.