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Finding the Fourth Proportional to 24,615.47, 36,931.31 and 9,816.23

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Solution

The fourth proportional to 24,615.47, 36,931.31 and 9,816.23 is: 14,727.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,615.47 : 36,931.31 = 9,816.23 : x
  2. Step 2: Convert to fraction form
    24,615.47/36,931.31 = 9,816.23/x
  3. Step 3: Cross multiply
    24,615.47x = 36,931.31 × 9,816.23
  4. Step 4: Simplify right side
    24,615.47x = 362,525,999.42
  5. Step 5: Solve for x
    x = 362,525,999.42/24,615.47
  6. Step 6: Final answer
    x = 14,727.57

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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.