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Finding the Fourth Proportional to 13,330.71, 19,980.54 and 10,033.20

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Solution

The fourth proportional to 13,330.71, 19,980.54 and 10,033.20 is: 15,038.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,330.71 : 19,980.54 = 10,033.20 : x
  2. Step 2: Convert to fraction form
    13,330.71/19,980.54 = 10,033.20/x
  3. Step 3: Cross multiply
    13,330.71x = 19,980.54 × 10,033.20
  4. Step 4: Simplify right side
    13,330.71x = 200,468,753.93
  5. Step 5: Solve for x
    x = 200,468,753.93/13,330.71
  6. Step 6: Final answer
    x = 15,038.12

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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.