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Finding the Fourth Proportional to 17,671.34, 24,386.88 and 9,713.76

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Solution

The fourth proportional to 17,671.34, 24,386.88 and 9,713.76 is: 13,405.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.34 : 24,386.88 = 9,713.76 : x
  2. Step 2: Convert to fraction form
    17,671.34/24,386.88 = 9,713.76/x
  3. Step 3: Cross multiply
    17,671.34x = 24,386.88 × 9,713.76
  4. Step 4: Simplify right side
    17,671.34x = 236,888,299.47
  5. Step 5: Solve for x
    x = 236,888,299.47/17,671.34
  6. Step 6: Final answer
    x = 13,405.23

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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.