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Finding the Fourth Proportional to 13,776.75, 19,013.51 and 7,728.66

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Solution

The fourth proportional to 13,776.75, 19,013.51 and 7,728.66 is: 10,666.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.75 : 19,013.51 = 7,728.66 : x
  2. Step 2: Convert to fraction form
    13,776.75/19,013.51 = 7,728.66/x
  3. Step 3: Cross multiply
    13,776.75x = 19,013.51 × 7,728.66
  4. Step 4: Simplify right side
    13,776.75x = 146,948,973.52
  5. Step 5: Solve for x
    x = 146,948,973.52/13,776.75
  6. Step 6: Final answer
    x = 10,666.45

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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.