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Finding the Fourth Proportional to 27,759.40, 38,307.66 and 15,184

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Solution

The fourth proportional to 27,759.40, 38,307.66 and 15,184 is: 20,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,759.40 : 38,307.66 = 15,184 : x
  2. Step 2: Convert to fraction form
    27,759.40/38,307.66 = 15,184/x
  3. Step 3: Cross multiply
    27,759.40x = 38,307.66 × 15,184
  4. Step 4: Simplify right side
    27,759.40x = 581,663,509.44
  5. Step 5: Solve for x
    x = 581,663,509.44/27,759.40
  6. Step 6: Final answer
    x = 20,953.75

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Why These Related Problems?

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