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Finding the Fourth Proportional to 12,802.34, 19,203.51 and 4,038.14

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Solution

The fourth proportional to 12,802.34, 19,203.51 and 4,038.14 is: 6,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.34 : 19,203.51 = 4,038.14 : x
  2. Step 2: Convert to fraction form
    12,802.34/19,203.51 = 4,038.14/x
  3. Step 3: Cross multiply
    12,802.34x = 19,203.51 × 4,038.14
  4. Step 4: Simplify right side
    12,802.34x = 77,546,461.87
  5. Step 5: Solve for x
    x = 77,546,461.87/12,802.34
  6. Step 6: Final answer
    x = 6,057.21

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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.