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Finding the Fourth Proportional to 14,426.25, 19,908.23 and 7,802.25

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Solution

The fourth proportional to 14,426.25, 19,908.23 and 7,802.25 is: 10,767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,426.25 : 19,908.23 = 7,802.25 : x
  2. Step 2: Convert to fraction form
    14,426.25/19,908.23 = 7,802.25/x
  3. Step 3: Cross multiply
    14,426.25x = 19,908.23 × 7,802.25
  4. Step 4: Simplify right side
    14,426.25x = 155,328,987.52
  5. Step 5: Solve for x
    x = 155,328,987.52/14,426.25
  6. Step 6: Final answer
    x = 10,767.11

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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.