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Finding the Fourth Proportional to 14,904.71, 22,355.70 and 5,042.86

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Solution

The fourth proportional to 14,904.71, 22,355.70 and 5,042.86 is: 7,563.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,904.71 : 22,355.70 = 5,042.86 : x
  2. Step 2: Convert to fraction form
    14,904.71/22,355.70 = 5,042.86/x
  3. Step 3: Cross multiply
    14,904.71x = 22,355.70 × 5,042.86
  4. Step 4: Simplify right side
    14,904.71x = 112,736,590.50
  5. Step 5: Solve for x
    x = 112,736,590.50/14,904.71
  6. Step 6: Final answer
    x = 7,563.82

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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.