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Finding the Fourth Proportional to 27,569.88, 38,045.64 and 15,634.32

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Solution

The fourth proportional to 27,569.88, 38,045.64 and 15,634.32 is: 21,574.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,569.88 : 38,045.64 = 15,634.32 : x
  2. Step 2: Convert to fraction form
    27,569.88/38,045.64 = 15,634.32/x
  3. Step 3: Cross multiply
    27,569.88x = 38,045.64 × 15,634.32
  4. Step 4: Simplify right side
    27,569.88x = 594,817,710.36
  5. Step 5: Solve for x
    x = 594,817,710.36/27,569.88
  6. Step 6: Final answer
    x = 21,574.91

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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.