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Finding the Fourth Proportional to 14,261.97, 19,681.38 and 7,888.83

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Solution

The fourth proportional to 14,261.97, 19,681.38 and 7,888.83 is: 10,886.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,261.97 : 19,681.38 = 7,888.83 : x
  2. Step 2: Convert to fraction form
    14,261.97/19,681.38 = 7,888.83/x
  3. Step 3: Cross multiply
    14,261.97x = 19,681.38 × 7,888.83
  4. Step 4: Simplify right side
    14,261.97x = 155,263,060.99
  5. Step 5: Solve for x
    x = 155,263,060.99/14,261.97
  6. Step 6: Final answer
    x = 10,886.51

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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.