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Finding the Fourth Proportional to 28,152, 38,849.76 and 15,578.64

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Solution

The fourth proportional to 28,152, 38,849.76 and 15,578.64 is: 21,498.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,152 : 38,849.76 = 15,578.64 : x
  2. Step 2: Convert to fraction form
    28,152/38,849.76 = 15,578.64/x
  3. Step 3: Cross multiply
    28,152x = 38,849.76 × 15,578.64
  4. Step 4: Simplify right side
    28,152x = 605,226,425.13
  5. Step 5: Solve for x
    x = 605,226,425.13/28,152
  6. Step 6: Final answer
    x = 21,498.52

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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.