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Finding the Fourth Proportional to 22,301.68, 30,790.30 and 14,357.72

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Solution

The fourth proportional to 22,301.68, 30,790.30 and 14,357.72 is: 19,822.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,301.68 : 30,790.30 = 14,357.72 : x
  2. Step 2: Convert to fraction form
    22,301.68/30,790.30 = 14,357.72/x
  3. Step 3: Cross multiply
    22,301.68x = 30,790.30 × 14,357.72
  4. Step 4: Simplify right side
    22,301.68x = 442,078,506.12
  5. Step 5: Solve for x
    x = 442,078,506.12/22,301.68
  6. Step 6: Final answer
    x = 19,822.65

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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.