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Finding the Fourth Proportional to 24,009.66, 35,989.88 and 9,214.61

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Solution

The fourth proportional to 24,009.66, 35,989.88 and 9,214.61 is: 13,812.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,009.66 : 35,989.88 = 9,214.61 : x
  2. Step 2: Convert to fraction form
    24,009.66/35,989.88 = 9,214.61/x
  3. Step 3: Cross multiply
    24,009.66x = 35,989.88 × 9,214.61
  4. Step 4: Simplify right side
    24,009.66x = 331,632,482.12
  5. Step 5: Solve for x
    x = 331,632,482.12/24,009.66
  6. Step 6: Final answer
    x = 13,812.46

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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.