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Finding the Fourth Proportional to 24,802.71, 34,224.15 and 14,190.36

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Solution

The fourth proportional to 24,802.71, 34,224.15 and 14,190.36 is: 19,580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.71 : 34,224.15 = 14,190.36 : x
  2. Step 2: Convert to fraction form
    24,802.71/34,224.15 = 14,190.36/x
  3. Step 3: Cross multiply
    24,802.71x = 34,224.15 × 14,190.36
  4. Step 4: Simplify right side
    24,802.71x = 485,653,009.19
  5. Step 5: Solve for x
    x = 485,653,009.19/24,802.71
  6. Step 6: Final answer
    x = 19,580.64

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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.