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Finding the Fourth Proportional to 16,314.25, 22,511.76 and 9,598.40

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Solution

The fourth proportional to 16,314.25, 22,511.76 and 9,598.40 is: 13,244.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.25 : 22,511.76 = 9,598.40 : x
  2. Step 2: Convert to fraction form
    16,314.25/22,511.76 = 9,598.40/x
  3. Step 3: Cross multiply
    16,314.25x = 22,511.76 × 9,598.40
  4. Step 4: Simplify right side
    16,314.25x = 216,076,877.18
  5. Step 5: Solve for x
    x = 216,076,877.18/16,314.25
  6. Step 6: Final answer
    x = 13,244.68

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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.