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Finding the Fourth Proportional to 12,266.66, 18,394.52 and 4,470

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Solution

The fourth proportional to 12,266.66, 18,394.52 and 4,470 is: 6,703.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.66 : 18,394.52 = 4,470 : x
  2. Step 2: Convert to fraction form
    12,266.66/18,394.52 = 4,470/x
  3. Step 3: Cross multiply
    12,266.66x = 18,394.52 × 4,470
  4. Step 4: Simplify right side
    12,266.66x = 82,223,482.05
  5. Step 5: Solve for x
    x = 82,223,482.05/12,266.66
  6. Step 6: Final answer
    x = 6,703.01

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