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Finding the Fourth Proportional to 13,298.34, 18,347.91 and 8,585.40

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Solution

The fourth proportional to 13,298.34, 18,347.91 and 8,585.40 is: 11,845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,298.34 : 18,347.91 = 8,585.40 : x
  2. Step 2: Convert to fraction form
    13,298.34/18,347.91 = 8,585.40/x
  3. Step 3: Cross multiply
    13,298.34x = 18,347.91 × 8,585.40
  4. Step 4: Simplify right side
    13,298.34x = 157,524,146.51
  5. Step 5: Solve for x
    x = 157,524,146.51/13,298.34
  6. Step 6: Final answer
    x = 11,845.40

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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.