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Finding the Fourth Proportional to 19,253.16, 28,881.36 and 6,102

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Solution

The fourth proportional to 19,253.16, 28,881.36 and 6,102 is: 9,153.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,253.16 : 28,881.36 = 6,102 : x
  2. Step 2: Convert to fraction form
    19,253.16/28,881.36 = 6,102/x
  3. Step 3: Cross multiply
    19,253.16x = 28,881.36 × 6,102
  4. Step 4: Simplify right side
    19,253.16x = 176,234,058.72
  5. Step 5: Solve for x
    x = 176,234,058.72/19,253.16
  6. Step 6: Final answer
    x = 9,153.51

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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.