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Finding the Fourth Proportional to 12,747.66, 17,587.71 and 7,157.58

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Solution

The fourth proportional to 12,747.66, 17,587.71 and 7,157.58 is: 9,875.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,747.66 : 17,587.71 = 7,157.58 : x
  2. Step 2: Convert to fraction form
    12,747.66/17,587.71 = 7,157.58/x
  3. Step 3: Cross multiply
    12,747.66x = 17,587.71 × 7,157.58
  4. Step 4: Simplify right side
    12,747.66x = 125,885,441.34
  5. Step 5: Solve for x
    x = 125,885,441.34/12,747.66
  6. Step 6: Final answer
    x = 9,875.18

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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.