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Finding the Fourth Proportional to 14,690.78, 22,031.49 and 4,827.78

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Solution

The fourth proportional to 14,690.78, 22,031.49 and 4,827.78 is: 7,240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,690.78 : 22,031.49 = 4,827.78 : x
  2. Step 2: Convert to fraction form
    14,690.78/22,031.49 = 4,827.78/x
  3. Step 3: Cross multiply
    14,690.78x = 22,031.49 × 4,827.78
  4. Step 4: Simplify right side
    14,690.78x = 106,363,186.79
  5. Step 5: Solve for x
    x = 106,363,186.79/14,690.78
  6. Step 6: Final answer
    x = 7,240.13

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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.