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Finding the Fourth Proportional to 13,013.28, 19,522.80 and 6,084

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Solution

The fourth proportional to 13,013.28, 19,522.80 and 6,084 is: 9,127.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.28 : 19,522.80 = 6,084 : x
  2. Step 2: Convert to fraction form
    13,013.28/19,522.80 = 6,084/x
  3. Step 3: Cross multiply
    13,013.28x = 19,522.80 × 6,084
  4. Step 4: Simplify right side
    13,013.28x = 118,776,715.20
  5. Step 5: Solve for x
    x = 118,776,715.20/13,013.28
  6. Step 6: Final answer
    x = 9,127.35

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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.