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Finding the Fourth Proportional to 13,807.55, 19,055.45 and 7,758.49

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Solution

The fourth proportional to 13,807.55, 19,055.45 and 7,758.49 is: 10,707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.55 : 19,055.45 = 7,758.49 : x
  2. Step 2: Convert to fraction form
    13,807.55/19,055.45 = 7,758.49/x
  3. Step 3: Cross multiply
    13,807.55x = 19,055.45 × 7,758.49
  4. Step 4: Simplify right side
    13,807.55x = 147,841,518.27
  5. Step 5: Solve for x
    x = 147,841,518.27/13,807.55
  6. Step 6: Final answer
    x = 10,707.30

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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.