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Finding the Fourth Proportional to 24,347.58, 36,523.39 and 7,707.14

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Solution

The fourth proportional to 24,347.58, 36,523.39 and 7,707.14 is: 11,561.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,347.58 : 36,523.39 = 7,707.14 : x
  2. Step 2: Convert to fraction form
    24,347.58/36,523.39 = 7,707.14/x
  3. Step 3: Cross multiply
    24,347.58x = 36,523.39 × 7,707.14
  4. Step 4: Simplify right side
    24,347.58x = 281,490,880.00
  5. Step 5: Solve for x
    x = 281,490,880.00/24,347.58
  6. Step 6: Final answer
    x = 11,561.35

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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.