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Finding the Fourth Proportional to 17,526.65, 24,187.35 and 9,569.30

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Solution

The fourth proportional to 17,526.65, 24,187.35 and 9,569.30 is: 13,205.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,526.65 : 24,187.35 = 9,569.30 : x
  2. Step 2: Convert to fraction form
    17,526.65/24,187.35 = 9,569.30/x
  3. Step 3: Cross multiply
    17,526.65x = 24,187.35 × 9,569.30
  4. Step 4: Simplify right side
    17,526.65x = 231,456,008.36
  5. Step 5: Solve for x
    x = 231,456,008.36/17,526.65
  6. Step 6: Final answer
    x = 13,205.95

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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.