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Finding the Fourth Proportional to 17,252.65, 23,807.00 and 9,697.24

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Solution

The fourth proportional to 17,252.65, 23,807.00 and 9,697.24 is: 13,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,252.65 : 23,807.00 = 9,697.24 : x
  2. Step 2: Convert to fraction form
    17,252.65/23,807.00 = 9,697.24/x
  3. Step 3: Cross multiply
    17,252.65x = 23,807.00 × 9,697.24
  4. Step 4: Simplify right side
    17,252.65x = 230,862,025.16
  5. Step 5: Solve for x
    x = 230,862,025.16/17,252.65
  6. Step 6: Final answer
    x = 13,381.25

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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.