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Finding the Fourth Proportional to 17,774.13, 24,528.24 and 10,700.94

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Solution

The fourth proportional to 17,774.13, 24,528.24 and 10,700.94 is: 14,767.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,774.13 : 24,528.24 = 10,700.94 : x
  2. Step 2: Convert to fraction form
    17,774.13/24,528.24 = 10,700.94/x
  3. Step 3: Cross multiply
    17,774.13x = 24,528.24 × 10,700.94
  4. Step 4: Simplify right side
    17,774.13x = 262,475,224.55
  5. Step 5: Solve for x
    x = 262,475,224.55/17,774.13
  6. Step 6: Final answer
    x = 14,767.26

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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.