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Finding the Fourth Proportional to 14,486.10, 21,746.70 and 9,221.10

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Solution

The fourth proportional to 14,486.10, 21,746.70 and 9,221.10 is: 13,842.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,486.10 : 21,746.70 = 9,221.10 : x
  2. Step 2: Convert to fraction form
    14,486.10/21,746.70 = 9,221.10/x
  3. Step 3: Cross multiply
    14,486.10x = 21,746.70 × 9,221.10
  4. Step 4: Simplify right side
    14,486.10x = 200,528,495.37
  5. Step 5: Solve for x
    x = 200,528,495.37/14,486.10
  6. Step 6: Final answer
    x = 13,842.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.