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Finding the Fourth Proportional to 17,646.09, 26,444.25 and 9,752.16

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Solution

The fourth proportional to 17,646.09, 26,444.25 and 9,752.16 is: 14,614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646.09 : 26,444.25 = 9,752.16 : x
  2. Step 2: Convert to fraction form
    17,646.09/26,444.25 = 9,752.16/x
  3. Step 3: Cross multiply
    17,646.09x = 26,444.25 × 9,752.16
  4. Step 4: Simplify right side
    17,646.09x = 257,888,557.08
  5. Step 5: Solve for x
    x = 257,888,557.08/17,646.09
  6. Step 6: Final answer
    x = 14,614.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.