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Finding the Fourth Proportional to 13,145.30, 19,717.95 and 9,689.30

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Solution

The fourth proportional to 13,145.30, 19,717.95 and 9,689.30 is: 14,533.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,145.30 : 19,717.95 = 9,689.30 : x
  2. Step 2: Convert to fraction form
    13,145.30/19,717.95 = 9,689.30/x
  3. Step 3: Cross multiply
    13,145.30x = 19,717.95 × 9,689.30
  4. Step 4: Simplify right side
    13,145.30x = 191,053,132.94
  5. Step 5: Solve for x
    x = 191,053,132.94/13,145.30
  6. Step 6: Final answer
    x = 14,533.95

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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.