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Finding the Fourth Proportional to 17,448.46, 24,078.36 and 9,895.48

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Solution

The fourth proportional to 17,448.46, 24,078.36 and 9,895.48 is: 13,655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,448.46 : 24,078.36 = 9,895.48 : x
  2. Step 2: Convert to fraction form
    17,448.46/24,078.36 = 9,895.48/x
  3. Step 3: Cross multiply
    17,448.46x = 24,078.36 × 9,895.48
  4. Step 4: Simplify right side
    17,448.46x = 238,266,929.81
  5. Step 5: Solve for x
    x = 238,266,929.81/17,448.46
  6. Step 6: Final answer
    x = 13,655.47

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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.