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Finding the Fourth Proportional to 12,066.64, 16,622.22 and 10,492

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Solution

The fourth proportional to 12,066.64, 16,622.22 and 10,492 is: 14,453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,066.64 : 16,622.22 = 10,492 : x
  2. Step 2: Convert to fraction form
    12,066.64/16,622.22 = 10,492/x
  3. Step 3: Cross multiply
    12,066.64x = 16,622.22 × 10,492
  4. Step 4: Simplify right side
    12,066.64x = 174,400,332.24
  5. Step 5: Solve for x
    x = 174,400,332.24/12,066.64
  6. Step 6: Final answer
    x = 14,453.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.