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Finding the Fourth Proportional to 16,447.83, 22,697.14 and 9,277.53

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Solution

The fourth proportional to 16,447.83, 22,697.14 and 9,277.53 is: 12,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.83 : 22,697.14 = 9,277.53 : x
  2. Step 2: Convert to fraction form
    16,447.83/22,697.14 = 9,277.53/x
  3. Step 3: Cross multiply
    16,447.83x = 22,697.14 × 9,277.53
  4. Step 4: Simplify right side
    16,447.83x = 210,573,397.26
  5. Step 5: Solve for x
    x = 210,573,397.26/16,447.83
  6. Step 6: Final answer
    x = 12,802.50

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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.