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Finding the Fourth Proportional to 17,798.95, 24,561.78 and 9,732.46

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Solution

The fourth proportional to 17,798.95, 24,561.78 and 9,732.46 is: 13,430.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,798.95 : 24,561.78 = 9,732.46 : x
  2. Step 2: Convert to fraction form
    17,798.95/24,561.78 = 9,732.46/x
  3. Step 3: Cross multiply
    17,798.95x = 24,561.78 × 9,732.46
  4. Step 4: Simplify right side
    17,798.95x = 239,046,541.38
  5. Step 5: Solve for x
    x = 239,046,541.38/17,798.95
  6. Step 6: Final answer
    x = 13,430.37

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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.