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Finding the Fourth Proportional to 14,205.25, 19,582.75 and 9,943.12

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Solution

The fourth proportional to 14,205.25, 19,582.75 and 9,943.12 is: 13,707.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.25 : 19,582.75 = 9,943.12 : x
  2. Step 2: Convert to fraction form
    14,205.25/19,582.75 = 9,943.12/x
  3. Step 3: Cross multiply
    14,205.25x = 19,582.75 × 9,943.12
  4. Step 4: Simplify right side
    14,205.25x = 194,713,633.18
  5. Step 5: Solve for x
    x = 194,713,633.18/14,205.25
  6. Step 6: Final answer
    x = 13,707.16

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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.