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Finding the Fourth Proportional to 17,814.51, 24,583.29 and 10,261.14

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Solution

The fourth proportional to 17,814.51, 24,583.29 and 10,261.14 is: 14,159.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,814.51 : 24,583.29 = 10,261.14 : x
  2. Step 2: Convert to fraction form
    17,814.51/24,583.29 = 10,261.14/x
  3. Step 3: Cross multiply
    17,814.51x = 24,583.29 × 10,261.14
  4. Step 4: Simplify right side
    17,814.51x = 252,252,580.35
  5. Step 5: Solve for x
    x = 252,252,580.35/17,814.51
  6. Step 6: Final answer
    x = 14,159.95

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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.