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Finding the Fourth Proportional to 12,802.37, 19,203.53 and 5,005.71

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Solution

The fourth proportional to 12,802.37, 19,203.53 and 5,005.71 is: 7,508.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.37 : 19,203.53 = 5,005.71 : x
  2. Step 2: Convert to fraction form
    12,802.37/19,203.53 = 5,005.71/x
  3. Step 3: Cross multiply
    12,802.37x = 19,203.53 × 5,005.71
  4. Step 4: Simplify right side
    12,802.37x = 96,127,277.13
  5. Step 5: Solve for x
    x = 96,127,277.13/12,802.37
  6. Step 6: Final answer
    x = 7,508.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.