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Finding the Fourth Proportional to 15,877.16, 23,816 and 6,021.08

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Solution

The fourth proportional to 15,877.16, 23,816 and 6,021.08 is: 9,031.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,877.16 : 23,816 = 6,021.08 : x
  2. Step 2: Convert to fraction form
    15,877.16/23,816 = 6,021.08/x
  3. Step 3: Cross multiply
    15,877.16x = 23,816 × 6,021.08
  4. Step 4: Simplify right side
    15,877.16x = 143,398,041.28
  5. Step 5: Solve for x
    x = 143,398,041.28/15,877.16
  6. Step 6: Final answer
    x = 9,031.72

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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.