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Finding the Fourth Proportional to 14,699.47, 20,285.41 and 7,985.16

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Solution

The fourth proportional to 14,699.47, 20,285.41 and 7,985.16 is: 11,019.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,699.47 : 20,285.41 = 7,985.16 : x
  2. Step 2: Convert to fraction form
    14,699.47/20,285.41 = 7,985.16/x
  3. Step 3: Cross multiply
    14,699.47x = 20,285.41 × 7,985.16
  4. Step 4: Simplify right side
    14,699.47x = 161,982,244.52
  5. Step 5: Solve for x
    x = 161,982,244.52/14,699.47
  6. Step 6: Final answer
    x = 11,019.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.