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Finding the Fourth Proportional to 13,870.23, 20,802.28 and 4,007.36

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Solution

The fourth proportional to 13,870.23, 20,802.28 and 4,007.36 is: 6,010.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.23 : 20,802.28 = 4,007.36 : x
  2. Step 2: Convert to fraction form
    13,870.23/20,802.28 = 4,007.36/x
  3. Step 3: Cross multiply
    13,870.23x = 20,802.28 × 4,007.36
  4. Step 4: Simplify right side
    13,870.23x = 83,362,224.78
  5. Step 5: Solve for x
    x = 83,362,224.78/13,870.23
  6. Step 6: Final answer
    x = 6,010.15

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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.