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Finding the Fourth Proportional to 14,823.04, 20,458.02 and 8,534.20

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Solution

The fourth proportional to 14,823.04, 20,458.02 and 8,534.20 is: 11,778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823.04 : 20,458.02 = 8,534.20 : x
  2. Step 2: Convert to fraction form
    14,823.04/20,458.02 = 8,534.20/x
  3. Step 3: Cross multiply
    14,823.04x = 20,458.02 × 8,534.20
  4. Step 4: Simplify right side
    14,823.04x = 174,592,834.28
  5. Step 5: Solve for x
    x = 174,592,834.28/14,823.04
  6. Step 6: Final answer
    x = 11,778.48

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