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Finding the Fourth Proportional to 10,019.86, 15,032.67 and 3,000.40

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Solution

The fourth proportional to 10,019.86, 15,032.67 and 3,000.40 is: 4,501.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.86 : 15,032.67 = 3,000.40 : x
  2. Step 2: Convert to fraction form
    10,019.86/15,032.67 = 3,000.40/x
  3. Step 3: Cross multiply
    10,019.86x = 15,032.67 × 3,000.40
  4. Step 4: Simplify right side
    10,019.86x = 45,104,023.07
  5. Step 5: Solve for x
    x = 45,104,023.07/10,019.86
  6. Step 6: Final answer
    x = 4,501.46

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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.