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Finding the Fourth Proportional to 11,877.81, 17,816.71 and 9,653.95

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Solution

The fourth proportional to 11,877.81, 17,816.71 and 9,653.95 is: 14,480.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.81 : 17,816.71 = 9,653.95 : x
  2. Step 2: Convert to fraction form
    11,877.81/17,816.71 = 9,653.95/x
  3. Step 3: Cross multiply
    11,877.81x = 17,816.71 × 9,653.95
  4. Step 4: Simplify right side
    11,877.81x = 172,001,643.74
  5. Step 5: Solve for x
    x = 172,001,643.74/11,877.81
  6. Step 6: Final answer
    x = 14,480.93

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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.