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Finding the Fourth Proportional to 22,802.94, 31,462.50 and 13,369.68

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Solution

The fourth proportional to 22,802.94, 31,462.50 and 13,369.68 is: 18,446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802.94 : 31,462.50 = 13,369.68 : x
  2. Step 2: Convert to fraction form
    22,802.94/31,462.50 = 13,369.68/x
  3. Step 3: Cross multiply
    22,802.94x = 31,462.50 × 13,369.68
  4. Step 4: Simplify right side
    22,802.94x = 420,643,557
  5. Step 5: Solve for x
    x = 420,643,557/22,802.94
  6. Step 6: Final answer
    x = 18,446.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.