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Finding the Fourth Proportional to 29,117.04, 43,677.18 and 8,340

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Solution

The fourth proportional to 29,117.04, 43,677.18 and 8,340 is: 12,510.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,117.04 : 43,677.18 = 8,340 : x
  2. Step 2: Convert to fraction form
    29,117.04/43,677.18 = 8,340/x
  3. Step 3: Cross multiply
    29,117.04x = 43,677.18 × 8,340
  4. Step 4: Simplify right side
    29,117.04x = 364,267,681.20
  5. Step 5: Solve for x
    x = 364,267,681.20/29,117.04
  6. Step 6: Final answer
    x = 12,510.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.