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Finding the Fourth Proportional to 14,854.56, 20,505.60 and 9,821.04

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Solution

The fourth proportional to 14,854.56, 20,505.60 and 9,821.04 is: 13,557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.56 : 20,505.60 = 9,821.04 : x
  2. Step 2: Convert to fraction form
    14,854.56/20,505.60 = 9,821.04/x
  3. Step 3: Cross multiply
    14,854.56x = 20,505.60 × 9,821.04
  4. Step 4: Simplify right side
    14,854.56x = 201,386,317.82
  5. Step 5: Solve for x
    x = 201,386,317.82/14,854.56
  6. Step 6: Final answer
    x = 13,557.21

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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.