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Finding the Fourth Proportional to 12,870.84, 17,762.10 and 7,281.96

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Solution

The fourth proportional to 12,870.84, 17,762.10 and 7,281.96 is: 10,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.84 : 17,762.10 = 7,281.96 : x
  2. Step 2: Convert to fraction form
    12,870.84/17,762.10 = 7,281.96/x
  3. Step 3: Cross multiply
    12,870.84x = 17,762.10 × 7,281.96
  4. Step 4: Simplify right side
    12,870.84x = 129,342,901.72
  5. Step 5: Solve for x
    x = 129,342,901.72/12,870.84
  6. Step 6: Final answer
    x = 10,049.30

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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.