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Finding the Fourth Proportional to 23,394, 32,283.72 and 15,449.52

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Solution

The fourth proportional to 23,394, 32,283.72 and 15,449.52 is: 21,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,394 : 32,283.72 = 15,449.52 : x
  2. Step 2: Convert to fraction form
    23,394/32,283.72 = 15,449.52/x
  3. Step 3: Cross multiply
    23,394x = 32,283.72 × 15,449.52
  4. Step 4: Simplify right side
    23,394x = 498,767,977.81
  5. Step 5: Solve for x
    x = 498,767,977.81/23,394
  6. Step 6: Final answer
    x = 21,320.34

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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.