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Finding the Fourth Proportional to 16,389.02, 22,616.64 and 9,314.98

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Solution

The fourth proportional to 16,389.02, 22,616.64 and 9,314.98 is: 12,854.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,389.02 : 22,616.64 = 9,314.98 : x
  2. Step 2: Convert to fraction form
    16,389.02/22,616.64 = 9,314.98/x
  3. Step 3: Cross multiply
    16,389.02x = 22,616.64 × 9,314.98
  4. Step 4: Simplify right side
    16,389.02x = 210,673,492.73
  5. Step 5: Solve for x
    x = 210,673,492.73/16,389.02
  6. Step 6: Final answer
    x = 12,854.55

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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.