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Finding the Fourth Proportional to 17,101.77, 23,599.96 and 9,547.88

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Solution

The fourth proportional to 17,101.77, 23,599.96 and 9,547.88 is: 13,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,101.77 : 23,599.96 = 9,547.88 : x
  2. Step 2: Convert to fraction form
    17,101.77/23,599.96 = 9,547.88/x
  3. Step 3: Cross multiply
    17,101.77x = 23,599.96 × 9,547.88
  4. Step 4: Simplify right side
    17,101.77x = 225,329,444.22
  5. Step 5: Solve for x
    x = 225,329,444.22/17,101.77
  6. Step 6: Final answer
    x = 13,175.80

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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.