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Finding the Fourth Proportional to 14,102.59, 19,460.91 and 8,440.46

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Solution

The fourth proportional to 14,102.59, 19,460.91 and 8,440.46 is: 11,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.59 : 19,460.91 = 8,440.46 : x
  2. Step 2: Convert to fraction form
    14,102.59/19,460.91 = 8,440.46/x
  3. Step 3: Cross multiply
    14,102.59x = 19,460.91 × 8,440.46
  4. Step 4: Simplify right side
    14,102.59x = 164,259,032.42
  5. Step 5: Solve for x
    x = 164,259,032.42/14,102.59
  6. Step 6: Final answer
    x = 11,647.44

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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.