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Finding the Fourth Proportional to 16,684.16, 25,017.06 and 5,585

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Solution

The fourth proportional to 16,684.16, 25,017.06 and 5,585 is: 8,374.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,684.16 : 25,017.06 = 5,585 : x
  2. Step 2: Convert to fraction form
    16,684.16/25,017.06 = 5,585/x
  3. Step 3: Cross multiply
    16,684.16x = 25,017.06 × 5,585
  4. Step 4: Simplify right side
    16,684.16x = 139,720,280.10
  5. Step 5: Solve for x
    x = 139,720,280.10/16,684.16
  6. Step 6: Final answer
    x = 8,374.43

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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.