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Finding the Fourth Proportional to 13,295.32, 19,948.74 and 7,132.12

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Solution

The fourth proportional to 13,295.32, 19,948.74 and 7,132.12 is: 10,701.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,295.32 : 19,948.74 = 7,132.12 : x
  2. Step 2: Convert to fraction form
    13,295.32/19,948.74 = 7,132.12/x
  3. Step 3: Cross multiply
    13,295.32x = 19,948.74 × 7,132.12
  4. Step 4: Simplify right side
    13,295.32x = 142,276,807.53
  5. Step 5: Solve for x
    x = 142,276,807.53/13,295.32
  6. Step 6: Final answer
    x = 10,701.27

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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.