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Finding the Fourth Proportional to 15,959.54, 23,931.30 and 9,298.20

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Solution

The fourth proportional to 15,959.54, 23,931.30 and 9,298.20 is: 13,942.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,959.54 : 23,931.30 = 9,298.20 : x
  2. Step 2: Convert to fraction form
    15,959.54/23,931.30 = 9,298.20/x
  3. Step 3: Cross multiply
    15,959.54x = 23,931.30 × 9,298.20
  4. Step 4: Simplify right side
    15,959.54x = 222,518,013.66
  5. Step 5: Solve for x
    x = 222,518,013.66/15,959.54
  6. Step 6: Final answer
    x = 13,942.63

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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.