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Finding the Fourth Proportional to 24,722.99, 37,069.53 and 9,712.14

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Solution

The fourth proportional to 24,722.99, 37,069.53 and 9,712.14 is: 14,562.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,722.99 : 37,069.53 = 9,712.14 : x
  2. Step 2: Convert to fraction form
    24,722.99/37,069.53 = 9,712.14/x
  3. Step 3: Cross multiply
    24,722.99x = 37,069.53 × 9,712.14
  4. Step 4: Simplify right side
    24,722.99x = 360,024,465.09
  5. Step 5: Solve for x
    x = 360,024,465.09/24,722.99
  6. Step 6: Final answer
    x = 14,562.34

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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.