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Finding the Fourth Proportional to 34,872.16, 52,302.84 and 9,913.36

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Solution

The fourth proportional to 34,872.16, 52,302.84 and 9,913.36 is: 14,868.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,872.16 : 52,302.84 = 9,913.36 : x
  2. Step 2: Convert to fraction form
    34,872.16/52,302.84 = 9,913.36/x
  3. Step 3: Cross multiply
    34,872.16x = 52,302.84 × 9,913.36
  4. Step 4: Simplify right side
    34,872.16x = 518,496,881.94
  5. Step 5: Solve for x
    x = 518,496,881.94/34,872.16
  6. Step 6: Final answer
    x = 14,868.50

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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.