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Finding the Fourth Proportional to 12,802.43, 19,203.65 and 4,038.03

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Solution

The fourth proportional to 12,802.43, 19,203.65 and 4,038.03 is: 6,057.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.43 : 19,203.65 = 4,038.03 : x
  2. Step 2: Convert to fraction form
    12,802.43/19,203.65 = 4,038.03/x
  3. Step 3: Cross multiply
    12,802.43x = 19,203.65 × 4,038.03
  4. Step 4: Simplify right side
    12,802.43x = 77,544,798.60
  5. Step 5: Solve for x
    x = 77,544,798.60/12,802.43
  6. Step 6: Final answer
    x = 6,057.04

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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.