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Finding the Fourth Proportional to 14,417.07, 19,895.53 and 8,129.40

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Solution

The fourth proportional to 14,417.07, 19,895.53 and 8,129.40 is: 11,218.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.07 : 19,895.53 = 8,129.40 : x
  2. Step 2: Convert to fraction form
    14,417.07/19,895.53 = 8,129.40/x
  3. Step 3: Cross multiply
    14,417.07x = 19,895.53 × 8,129.40
  4. Step 4: Simplify right side
    14,417.07x = 161,738,791.11
  5. Step 5: Solve for x
    x = 161,738,791.11/14,417.07
  6. Step 6: Final answer
    x = 11,218.56

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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.