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Finding the Fourth Proportional to 14,470.42, 19,973.12 and 8,504.01

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Solution

The fourth proportional to 14,470.42, 19,973.12 and 8,504.01 is: 11,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470.42 : 19,973.12 = 8,504.01 : x
  2. Step 2: Convert to fraction form
    14,470.42/19,973.12 = 8,504.01/x
  3. Step 3: Cross multiply
    14,470.42x = 19,973.12 × 8,504.01
  4. Step 4: Simplify right side
    14,470.42x = 169,851,661.74
  5. Step 5: Solve for x
    x = 169,851,661.74/14,470.42
  6. Step 6: Final answer
    x = 11,737.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.