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Finding the Fourth Proportional to 10,019.99, 15,032.87 and 3,000.53

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Solution

The fourth proportional to 10,019.99, 15,032.87 and 3,000.53 is: 4,501.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.99 : 15,032.87 = 3,000.53 : x
  2. Step 2: Convert to fraction form
    10,019.99/15,032.87 = 3,000.53/x
  3. Step 3: Cross multiply
    10,019.99x = 15,032.87 × 3,000.53
  4. Step 4: Simplify right side
    10,019.99x = 45,106,487.25
  5. Step 5: Solve for x
    x = 45,106,487.25/10,019.99
  6. Step 6: Final answer
    x = 4,501.65

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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.