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Finding the Fourth Proportional to 14,341.38, 21,487.80 and 8,783.12

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Solution

The fourth proportional to 14,341.38, 21,487.80 and 8,783.12 is: 13,159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,341.38 : 21,487.80 = 8,783.12 : x
  2. Step 2: Convert to fraction form
    14,341.38/21,487.80 = 8,783.12/x
  3. Step 3: Cross multiply
    14,341.38x = 21,487.80 × 8,783.12
  4. Step 4: Simplify right side
    14,341.38x = 188,729,818.50
  5. Step 5: Solve for x
    x = 188,729,818.50/14,341.38
  6. Step 6: Final answer
    x = 13,159.81

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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.