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Finding the Fourth Proportional to 24,010.46, 36,019.74 and 9,978.02

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Solution

The fourth proportional to 24,010.46, 36,019.74 and 9,978.02 is: 14,968.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,010.46 : 36,019.74 = 9,978.02 : x
  2. Step 2: Convert to fraction form
    24,010.46/36,019.74 = 9,978.02/x
  3. Step 3: Cross multiply
    24,010.46x = 36,019.74 × 9,978.02
  4. Step 4: Simplify right side
    24,010.46x = 359,405,506.02
  5. Step 5: Solve for x
    x = 359,405,506.02/24,010.46
  6. Step 6: Final answer
    x = 14,968.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.