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Finding the Fourth Proportional to 13,357.16, 18,440.38 and 8,887

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Solution

The fourth proportional to 13,357.16, 18,440.38 and 8,887 is: 12,269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,357.16 : 18,440.38 = 8,887 : x
  2. Step 2: Convert to fraction form
    13,357.16/18,440.38 = 8,887/x
  3. Step 3: Cross multiply
    13,357.16x = 18,440.38 × 8,887
  4. Step 4: Simplify right side
    13,357.16x = 163,879,657.06
  5. Step 5: Solve for x
    x = 163,879,657.06/13,357.16
  6. Step 6: Final answer
    x = 12,269.05

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Why These Related Problems?

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