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Finding the Fourth Proportional to 14,114.90, 19,476.50 and 8,448.36

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Solution

The fourth proportional to 14,114.90, 19,476.50 and 8,448.36 is: 11,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.90 : 19,476.50 = 8,448.36 : x
  2. Step 2: Convert to fraction form
    14,114.90/19,476.50 = 8,448.36/x
  3. Step 3: Cross multiply
    14,114.90x = 19,476.50 × 8,448.36
  4. Step 4: Simplify right side
    14,114.90x = 164,544,483.54
  5. Step 5: Solve for x
    x = 164,544,483.54/14,114.90
  6. Step 6: Final answer
    x = 11,657.50

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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.