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Finding the Fourth Proportional to 14,186.72, 19,580.01 and 10,823.18

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Solution

The fourth proportional to 14,186.72, 19,580.01 and 10,823.18 is: 14,937.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186.72 : 19,580.01 = 10,823.18 : x
  2. Step 2: Convert to fraction form
    14,186.72/19,580.01 = 10,823.18/x
  3. Step 3: Cross multiply
    14,186.72x = 19,580.01 × 10,823.18
  4. Step 4: Simplify right side
    14,186.72x = 211,917,972.63
  5. Step 5: Solve for x
    x = 211,917,972.63/14,186.72
  6. Step 6: Final answer
    x = 14,937.77

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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.