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Finding the Fourth Proportional to 13,776.71, 19,011.38 and 7,808.22

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Solution

The fourth proportional to 13,776.71, 19,011.38 and 7,808.22 is: 10,775.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.71 : 19,011.38 = 7,808.22 : x
  2. Step 2: Convert to fraction form
    13,776.71/19,011.38 = 7,808.22/x
  3. Step 3: Cross multiply
    13,776.71x = 19,011.38 × 7,808.22
  4. Step 4: Simplify right side
    13,776.71x = 148,444,998.50
  5. Step 5: Solve for x
    x = 148,444,998.50/13,776.71
  6. Step 6: Final answer
    x = 10,775.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.