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Finding the Fourth Proportional to 13,019.04, 17,963.64 and 7,715.70

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Solution

The fourth proportional to 13,019.04, 17,963.64 and 7,715.70 is: 10,646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.04 : 17,963.64 = 7,715.70 : x
  2. Step 2: Convert to fraction form
    13,019.04/17,963.64 = 7,715.70/x
  3. Step 3: Cross multiply
    13,019.04x = 17,963.64 × 7,715.70
  4. Step 4: Simplify right side
    13,019.04x = 138,602,057.15
  5. Step 5: Solve for x
    x = 138,602,057.15/13,019.04
  6. Step 6: Final answer
    x = 10,646.10

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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.