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Finding the Fourth Proportional to 14,438.96, 21,696.51 and 7,780.40

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Solution

The fourth proportional to 14,438.96, 21,696.51 and 7,780.40 is: 11,691.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,438.96 : 21,696.51 = 7,780.40 : x
  2. Step 2: Convert to fraction form
    14,438.96/21,696.51 = 7,780.40/x
  3. Step 3: Cross multiply
    14,438.96x = 21,696.51 × 7,780.40
  4. Step 4: Simplify right side
    14,438.96x = 168,807,606.74
  5. Step 5: Solve for x
    x = 168,807,606.74/14,438.96
  6. Step 6: Final answer
    x = 11,691.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.