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Finding the Fourth Proportional to 12,818.34, 17,689.26 and 7,152.93

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Solution

The fourth proportional to 12,818.34, 17,689.26 and 7,152.93 is: 9,871.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818.34 : 17,689.26 = 7,152.93 : x
  2. Step 2: Convert to fraction form
    12,818.34/17,689.26 = 7,152.93/x
  3. Step 3: Cross multiply
    12,818.34x = 17,689.26 × 7,152.93
  4. Step 4: Simplify right side
    12,818.34x = 126,530,038.53
  5. Step 5: Solve for x
    x = 126,530,038.53/12,818.34
  6. Step 6: Final answer
    x = 9,871.02

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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.