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Finding the Fourth Proportional to 13,135.34, 18,133.38 and 8,360.08

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Solution

The fourth proportional to 13,135.34, 18,133.38 and 8,360.08 is: 11,541.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.34 : 18,133.38 = 8,360.08 : x
  2. Step 2: Convert to fraction form
    13,135.34/18,133.38 = 8,360.08/x
  3. Step 3: Cross multiply
    13,135.34x = 18,133.38 × 8,360.08
  4. Step 4: Simplify right side
    13,135.34x = 151,596,462.14
  5. Step 5: Solve for x
    x = 151,596,462.14/13,135.34
  6. Step 6: Final answer
    x = 11,541.11

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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.