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Finding the Fourth Proportional to 17,063.68, 23,547.60 and 9,509.84

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Solution

The fourth proportional to 17,063.68, 23,547.60 and 9,509.84 is: 13,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,063.68 : 23,547.60 = 9,509.84 : x
  2. Step 2: Convert to fraction form
    17,063.68/23,547.60 = 9,509.84/x
  3. Step 3: Cross multiply
    17,063.68x = 23,547.60 × 9,509.84
  4. Step 4: Simplify right side
    17,063.68x = 223,933,908.38
  5. Step 5: Solve for x
    x = 223,933,908.38/17,063.68
  6. Step 6: Final answer
    x = 13,123.42

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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.