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Finding the Fourth Proportional to 14,677.47, 22,013.64 and 4,815.45

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Solution

The fourth proportional to 14,677.47, 22,013.64 and 4,815.45 is: 7,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.47 : 22,013.64 = 4,815.45 : x
  2. Step 2: Convert to fraction form
    14,677.47/22,013.64 = 4,815.45/x
  3. Step 3: Cross multiply
    14,677.47x = 22,013.64 × 4,815.45
  4. Step 4: Simplify right side
    14,677.47x = 106,005,582.74
  5. Step 5: Solve for x
    x = 106,005,582.74/14,677.47
  6. Step 6: Final answer
    x = 7,222.33

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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.