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Finding the Fourth Proportional to 12,902.64, 19,397.70 and 10,303.35

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Solution

The fourth proportional to 12,902.64, 19,397.70 and 10,303.35 is: 15,489.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.64 : 19,397.70 = 10,303.35 : x
  2. Step 2: Convert to fraction form
    12,902.64/19,397.70 = 10,303.35/x
  3. Step 3: Cross multiply
    12,902.64x = 19,397.70 × 10,303.35
  4. Step 4: Simplify right side
    12,902.64x = 199,861,292.30
  5. Step 5: Solve for x
    x = 199,861,292.30/12,902.64
  6. Step 6: Final answer
    x = 15,489.95

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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.