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Finding the Fourth Proportional to 27,642.60, 38,152.94 and 17,569.08

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Solution

The fourth proportional to 27,642.60, 38,152.94 and 17,569.08 is: 24,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,642.60 : 38,152.94 = 17,569.08 : x
  2. Step 2: Convert to fraction form
    27,642.60/38,152.94 = 17,569.08/x
  3. Step 3: Cross multiply
    27,642.60x = 38,152.94 × 17,569.08
  4. Step 4: Simplify right side
    27,642.60x = 670,312,055.10
  5. Step 5: Solve for x
    x = 670,312,055.10/27,642.60
  6. Step 6: Final answer
    x = 24,249.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.