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Finding the Fourth Proportional to 17,672.19, 24,386.72 and 9,714.69

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Solution

The fourth proportional to 17,672.19, 24,386.72 and 9,714.69 is: 13,405.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,672.19 : 24,386.72 = 9,714.69 : x
  2. Step 2: Convert to fraction form
    17,672.19/24,386.72 = 9,714.69/x
  3. Step 3: Cross multiply
    17,672.19x = 24,386.72 × 9,714.69
  4. Step 4: Simplify right side
    17,672.19x = 236,909,376.34
  5. Step 5: Solve for x
    x = 236,909,376.34/17,672.19
  6. Step 6: Final answer
    x = 13,405.77

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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.