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Finding the Fourth Proportional to 13,578.65, 20,356.98 and 5,254.40

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Solution

The fourth proportional to 13,578.65, 20,356.98 and 5,254.40 is: 7,877.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.65 : 20,356.98 = 5,254.40 : x
  2. Step 2: Convert to fraction form
    13,578.65/20,356.98 = 5,254.40/x
  3. Step 3: Cross multiply
    13,578.65x = 20,356.98 × 5,254.40
  4. Step 4: Simplify right side
    13,578.65x = 106,963,715.71
  5. Step 5: Solve for x
    x = 106,963,715.71/13,578.65
  6. Step 6: Final answer
    x = 7,877.35

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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.