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Finding the Fourth Proportional to 27,774.54, 38,319.35 and 15,829.25

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Solution

The fourth proportional to 27,774.54, 38,319.35 and 15,829.25 is: 21,838.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774.54 : 38,319.35 = 15,829.25 : x
  2. Step 2: Convert to fraction form
    27,774.54/38,319.35 = 15,829.25/x
  3. Step 3: Cross multiply
    27,774.54x = 38,319.35 × 15,829.25
  4. Step 4: Simplify right side
    27,774.54x = 606,566,300.24
  5. Step 5: Solve for x
    x = 606,566,300.24/27,774.54
  6. Step 6: Final answer
    x = 21,838.93

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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.