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Finding the Fourth Proportional to 13,866.93, 20,802.47 and 5,101.16

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Solution

The fourth proportional to 13,866.93, 20,802.47 and 5,101.16 is: 7,652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.93 : 20,802.47 = 5,101.16 : x
  2. Step 2: Convert to fraction form
    13,866.93/20,802.47 = 5,101.16/x
  3. Step 3: Cross multiply
    13,866.93x = 20,802.47 × 5,101.16
  4. Step 4: Simplify right side
    13,866.93x = 106,116,598.35
  5. Step 5: Solve for x
    x = 106,116,598.35/13,866.93
  6. Step 6: Final answer
    x = 7,652.49

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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.