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Finding the Fourth Proportional to 13,288.40, 18,569.20 and 13,288.40

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Solution

The fourth proportional to 13,288.40, 18,569.20 and 13,288.40 is: 18,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,288.40 : 18,569.20 = 13,288.40 : x
  2. Step 2: Convert to fraction form
    13,288.40/18,569.20 = 13,288.40/x
  3. Step 3: Cross multiply
    13,288.40x = 18,569.20 × 13,288.40
  4. Step 4: Simplify right side
    13,288.40x = 246,754,957.28
  5. Step 5: Solve for x
    x = 246,754,957.28/13,288.40
  6. Step 6: Final answer
    x = 18,569.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.