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Finding the Fourth Proportional to 13,002.66, 19,463.55 and 7,064.70

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Solution

The fourth proportional to 13,002.66, 19,463.55 and 7,064.70 is: 10,575.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.66 : 19,463.55 = 7,064.70 : x
  2. Step 2: Convert to fraction form
    13,002.66/19,463.55 = 7,064.70/x
  3. Step 3: Cross multiply
    13,002.66x = 19,463.55 × 7,064.70
  4. Step 4: Simplify right side
    13,002.66x = 137,504,141.69
  5. Step 5: Solve for x
    x = 137,504,141.69/13,002.66
  6. Step 6: Final answer
    x = 10,575.08

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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.