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Finding the Fourth Proportional to 13,019.12, 17,966.16 and 7,430

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Solution

The fourth proportional to 13,019.12, 17,966.16 and 7,430 is: 10,253.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.12 : 17,966.16 = 7,430 : x
  2. Step 2: Convert to fraction form
    13,019.12/17,966.16 = 7,430/x
  3. Step 3: Cross multiply
    13,019.12x = 17,966.16 × 7,430
  4. Step 4: Simplify right side
    13,019.12x = 133,488,568.80
  5. Step 5: Solve for x
    x = 133,488,568.80/13,019.12
  6. Step 6: Final answer
    x = 10,253.27

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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.