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Finding the Fourth Proportional to 14,505.24, 20,020.86 and 8,913

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Solution

The fourth proportional to 14,505.24, 20,020.86 and 8,913 is: 12,302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,505.24 : 20,020.86 = 8,913 : x
  2. Step 2: Convert to fraction form
    14,505.24/20,020.86 = 8,913/x
  3. Step 3: Cross multiply
    14,505.24x = 20,020.86 × 8,913
  4. Step 4: Simplify right side
    14,505.24x = 178,445,925.18
  5. Step 5: Solve for x
    x = 178,445,925.18/14,505.24
  6. Step 6: Final answer
    x = 12,302.17

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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.