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Finding the Fourth Proportional to 13,141.95, 19,713.12 and 4,376.87

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Solution

The fourth proportional to 13,141.95, 19,713.12 and 4,376.87 is: 6,565.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.95 : 19,713.12 = 4,376.87 : x
  2. Step 2: Convert to fraction form
    13,141.95/19,713.12 = 4,376.87/x
  3. Step 3: Cross multiply
    13,141.95x = 19,713.12 × 4,376.87
  4. Step 4: Simplify right side
    13,141.95x = 86,281,763.53
  5. Step 5: Solve for x
    x = 86,281,763.53/13,141.95
  6. Step 6: Final answer
    x = 6,565.37

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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.