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Finding the Fourth Proportional to 13,780.67, 18,989.13 and 13,036.28

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Solution

The fourth proportional to 13,780.67, 18,989.13 and 13,036.28 is: 17,963.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.67 : 18,989.13 = 13,036.28 : x
  2. Step 2: Convert to fraction form
    13,780.67/18,989.13 = 13,036.28/x
  3. Step 3: Cross multiply
    13,780.67x = 18,989.13 × 13,036.28
  4. Step 4: Simplify right side
    13,780.67x = 247,547,569.58
  5. Step 5: Solve for x
    x = 247,547,569.58/13,780.67
  6. Step 6: Final answer
    x = 17,963.40

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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.