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Finding the Fourth Proportional to 16,166.60, 22,307.46 and 9,094.76

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Solution

The fourth proportional to 16,166.60, 22,307.46 and 9,094.76 is: 12,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,166.60 : 22,307.46 = 9,094.76 : x
  2. Step 2: Convert to fraction form
    16,166.60/22,307.46 = 9,094.76/x
  3. Step 3: Cross multiply
    16,166.60x = 22,307.46 × 9,094.76
  4. Step 4: Simplify right side
    16,166.60x = 202,880,994.91
  5. Step 5: Solve for x
    x = 202,880,994.91/16,166.60
  6. Step 6: Final answer
    x = 12,549.39

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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.