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Finding the Fourth Proportional to 14,321.47, 19,762.62 and 7,948.39

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Solution

The fourth proportional to 14,321.47, 19,762.62 and 7,948.39 is: 10,968.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,321.47 : 19,762.62 = 7,948.39 : x
  2. Step 2: Convert to fraction form
    14,321.47/19,762.62 = 7,948.39/x
  3. Step 3: Cross multiply
    14,321.47x = 19,762.62 × 7,948.39
  4. Step 4: Simplify right side
    14,321.47x = 157,081,011.18
  5. Step 5: Solve for x
    x = 157,081,011.18/14,321.47
  6. Step 6: Final answer
    x = 10,968.22

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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.