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Finding the Fourth Proportional to 19,248, 28,872.84 and 6,101.34

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Solution

The fourth proportional to 19,248, 28,872.84 and 6,101.34 is: 9,152.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,248 : 28,872.84 = 6,101.34 : x
  2. Step 2: Convert to fraction form
    19,248/28,872.84 = 6,101.34/x
  3. Step 3: Cross multiply
    19,248x = 28,872.84 × 6,101.34
  4. Step 4: Simplify right side
    19,248x = 176,163,013.61
  5. Step 5: Solve for x
    x = 176,163,013.61/19,248
  6. Step 6: Final answer
    x = 9,152.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.