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Finding the Fourth Proportional to 13,678.74, 20,592.50 and 9,810.18

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Solution

The fourth proportional to 13,678.74, 20,592.50 and 9,810.18 is: 14,768.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.74 : 20,592.50 = 9,810.18 : x
  2. Step 2: Convert to fraction form
    13,678.74/20,592.50 = 9,810.18/x
  3. Step 3: Cross multiply
    13,678.74x = 20,592.50 × 9,810.18
  4. Step 4: Simplify right side
    13,678.74x = 202,016,082.60
  5. Step 5: Solve for x
    x = 202,016,082.60/13,678.74
  6. Step 6: Final answer
    x = 14,768.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.