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Finding the Fourth Proportional to 22,097.66, 30,495 and 12,026.31

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Solution

The fourth proportional to 22,097.66, 30,495 and 12,026.31 is: 16,596.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,097.66 : 30,495 = 12,026.31 : x
  2. Step 2: Convert to fraction form
    22,097.66/30,495 = 12,026.31/x
  3. Step 3: Cross multiply
    22,097.66x = 30,495 × 12,026.31
  4. Step 4: Simplify right side
    22,097.66x = 366,742,323.45
  5. Step 5: Solve for x
    x = 366,742,323.45/22,097.66
  6. Step 6: Final answer
    x = 16,596.44

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1.5x scale

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.