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Finding the Fourth Proportional to 14,616.24, 21,924 and 5,130.42

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Solution

The fourth proportional to 14,616.24, 21,924 and 5,130.42 is: 7,695.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.24 : 21,924 = 5,130.42 : x
  2. Step 2: Convert to fraction form
    14,616.24/21,924 = 5,130.42/x
  3. Step 3: Cross multiply
    14,616.24x = 21,924 × 5,130.42
  4. Step 4: Simplify right side
    14,616.24x = 112,479,328.08
  5. Step 5: Solve for x
    x = 112,479,328.08/14,616.24
  6. Step 6: Final answer
    x = 7,695.50

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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.