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Finding the Fourth Proportional to 13,808.91, 19,055.12 and 7,758.68

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Solution

The fourth proportional to 13,808.91, 19,055.12 and 7,758.68 is: 10,706.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.91 : 19,055.12 = 7,758.68 : x
  2. Step 2: Convert to fraction form
    13,808.91/19,055.12 = 7,758.68/x
  3. Step 3: Cross multiply
    13,808.91x = 19,055.12 × 7,758.68
  4. Step 4: Simplify right side
    13,808.91x = 147,842,483.17
  5. Step 5: Solve for x
    x = 147,842,483.17/13,808.91
  6. Step 6: Final answer
    x = 10,706.31

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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.