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Finding the Fourth Proportional to 24,059.84, 36,095.22 and 9,071.60

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Solution

The fourth proportional to 24,059.84, 36,095.22 and 9,071.60 is: 13,609.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,059.84 : 36,095.22 = 9,071.60 : x
  2. Step 2: Convert to fraction form
    24,059.84/36,095.22 = 9,071.60/x
  3. Step 3: Cross multiply
    24,059.84x = 36,095.22 × 9,071.60
  4. Step 4: Simplify right side
    24,059.84x = 327,441,217.28
  5. Step 5: Solve for x
    x = 327,441,217.28/24,059.84
  6. Step 6: Final answer
    x = 13,609.45

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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.