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Finding the Fourth Proportional to 22,701.53, 31,323.02 and 13,748.87

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Solution

The fourth proportional to 22,701.53, 31,323.02 and 13,748.87 is: 18,970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,701.53 : 31,323.02 = 13,748.87 : x
  2. Step 2: Convert to fraction form
    22,701.53/31,323.02 = 13,748.87/x
  3. Step 3: Cross multiply
    22,701.53x = 31,323.02 × 13,748.87
  4. Step 4: Simplify right side
    22,701.53x = 430,655,904.63
  5. Step 5: Solve for x
    x = 430,655,904.63/22,701.53
  6. Step 6: Final answer
    x = 18,970.35

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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.