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Finding the Fourth Proportional to 12,802.93, 19,204.40 and 4,038.53

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Solution

The fourth proportional to 12,802.93, 19,204.40 and 4,038.53 is: 6,057.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.93 : 19,204.40 = 4,038.53 : x
  2. Step 2: Convert to fraction form
    12,802.93/19,204.40 = 4,038.53/x
  3. Step 3: Cross multiply
    12,802.93x = 19,204.40 × 4,038.53
  4. Step 4: Simplify right side
    12,802.93x = 77,557,429.32
  5. Step 5: Solve for x
    x = 77,557,429.32/12,802.93
  6. Step 6: Final answer
    x = 6,057.79

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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.