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Finding the Fourth Proportional to 13,870.68, 19,129.06 and 9,159.72

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Solution

The fourth proportional to 13,870.68, 19,129.06 and 9,159.72 is: 12,632.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.68 : 19,129.06 = 9,159.72 : x
  2. Step 2: Convert to fraction form
    13,870.68/19,129.06 = 9,159.72/x
  3. Step 3: Cross multiply
    13,870.68x = 19,129.06 × 9,159.72
  4. Step 4: Simplify right side
    13,870.68x = 175,216,833.46
  5. Step 5: Solve for x
    x = 175,216,833.46/13,870.68
  6. Step 6: Final answer
    x = 12,632.17

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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.