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Finding the Fourth Proportional to 12,319.68, 17,000.52 and 7,014.48

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Solution

The fourth proportional to 12,319.68, 17,000.52 and 7,014.48 is: 9,679.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,319.68 : 17,000.52 = 7,014.48 : x
  2. Step 2: Convert to fraction form
    12,319.68/17,000.52 = 7,014.48/x
  3. Step 3: Cross multiply
    12,319.68x = 17,000.52 × 7,014.48
  4. Step 4: Simplify right side
    12,319.68x = 119,249,807.53
  5. Step 5: Solve for x
    x = 119,249,807.53/12,319.68
  6. Step 6: Final answer
    x = 9,679.62

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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.