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Finding the Fourth Proportional to 10,301.68, 15,319.98 and 9,973.62

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Solution

The fourth proportional to 10,301.68, 15,319.98 and 9,973.62 is: 14,832.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.68 : 15,319.98 = 9,973.62 : x
  2. Step 2: Convert to fraction form
    10,301.68/15,319.98 = 9,973.62/x
  3. Step 3: Cross multiply
    10,301.68x = 15,319.98 × 9,973.62
  4. Step 4: Simplify right side
    10,301.68x = 152,795,658.93
  5. Step 5: Solve for x
    x = 152,795,658.93/10,301.68
  6. Step 6: Final answer
    x = 14,832.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.