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Finding the Fourth Proportional to 17,455.78, 24,088.13 and 9,901.95

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Solution

The fourth proportional to 17,455.78, 24,088.13 and 9,901.95 is: 13,664.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,455.78 : 24,088.13 = 9,901.95 : x
  2. Step 2: Convert to fraction form
    17,455.78/24,088.13 = 9,901.95/x
  3. Step 3: Cross multiply
    17,455.78x = 24,088.13 × 9,901.95
  4. Step 4: Simplify right side
    17,455.78x = 238,519,496.01
  5. Step 5: Solve for x
    x = 238,519,496.01/17,455.78
  6. Step 6: Final answer
    x = 13,664.21

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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.