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Finding the Fourth Proportional to 24,608.16, 36,909.90 and 9,813.12

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Solution

The fourth proportional to 24,608.16, 36,909.90 and 9,813.12 is: 14,718.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,608.16 : 36,909.90 = 9,813.12 : x
  2. Step 2: Convert to fraction form
    24,608.16/36,909.90 = 9,813.12/x
  3. Step 3: Cross multiply
    24,608.16x = 36,909.90 × 9,813.12
  4. Step 4: Simplify right side
    24,608.16x = 362,201,277.89
  5. Step 5: Solve for x
    x = 362,201,277.89/24,608.16
  6. Step 6: Final answer
    x = 14,718.75

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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.