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Finding the Fourth Proportional to 14,062, 19,405.88 and 9,102.64

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Solution

The fourth proportional to 14,062, 19,405.88 and 9,102.64 is: 12,561.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,062 : 19,405.88 = 9,102.64 : x
  2. Step 2: Convert to fraction form
    14,062/19,405.88 = 9,102.64/x
  3. Step 3: Cross multiply
    14,062x = 19,405.88 × 9,102.64
  4. Step 4: Simplify right side
    14,062x = 176,644,739.52
  5. Step 5: Solve for x
    x = 176,644,739.52/14,062
  6. Step 6: Final answer
    x = 12,561.85

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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.