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Finding the Fourth Proportional to 23,802.49, 32,838.64 and 14,242.60

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Solution

The fourth proportional to 23,802.49, 32,838.64 and 14,242.60 is: 19,649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.49 : 32,838.64 = 14,242.60 : x
  2. Step 2: Convert to fraction form
    23,802.49/32,838.64 = 14,242.60/x
  3. Step 3: Cross multiply
    23,802.49x = 32,838.64 × 14,242.60
  4. Step 4: Simplify right side
    23,802.49x = 467,707,614.06
  5. Step 5: Solve for x
    x = 467,707,614.06/23,802.49
  6. Step 6: Final answer
    x = 19,649.52

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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.