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Finding the Fourth Proportional to 17,860.77, 24,646.95 and 9,904.28

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Solution

The fourth proportional to 17,860.77, 24,646.95 and 9,904.28 is: 13,667.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,860.77 : 24,646.95 = 9,904.28 : x
  2. Step 2: Convert to fraction form
    17,860.77/24,646.95 = 9,904.28/x
  3. Step 3: Cross multiply
    17,860.77x = 24,646.95 × 9,904.28
  4. Step 4: Simplify right side
    17,860.77x = 244,110,170.71
  5. Step 5: Solve for x
    x = 244,110,170.71/17,860.77
  6. Step 6: Final answer
    x = 13,667.39

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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.