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Finding the Fourth Proportional to 11,656.95, 17,465.17 and 10,514.85

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Solution

The fourth proportional to 11,656.95, 17,465.17 and 10,514.85 is: 15,754.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.95 : 17,465.17 = 10,514.85 : x
  2. Step 2: Convert to fraction form
    11,656.95/17,465.17 = 10,514.85/x
  3. Step 3: Cross multiply
    11,656.95x = 17,465.17 × 10,514.85
  4. Step 4: Simplify right side
    11,656.95x = 183,643,642.77
  5. Step 5: Solve for x
    x = 183,643,642.77/11,656.95
  6. Step 6: Final answer
    x = 15,754.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.