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Finding the Fourth Proportional to 27,782.25, 38,339.51 and 15,207

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Solution

The fourth proportional to 27,782.25, 38,339.51 and 15,207 is: 20,985.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.25 : 38,339.51 = 15,207 : x
  2. Step 2: Convert to fraction form
    27,782.25/38,339.51 = 15,207/x
  3. Step 3: Cross multiply
    27,782.25x = 38,339.51 × 15,207
  4. Step 4: Simplify right side
    27,782.25x = 583,028,852.54
  5. Step 5: Solve for x
    x = 583,028,852.54/27,782.25
  6. Step 6: Final answer
    x = 20,985.66

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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.