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Finding the Fourth Proportional to 14,675.10, 22,012.65 and 14,456.40

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Solution

The fourth proportional to 14,675.10, 22,012.65 and 14,456.40 is: 21,684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,675.10 : 22,012.65 = 14,456.40 : x
  2. Step 2: Convert to fraction form
    14,675.10/22,012.65 = 14,456.40/x
  3. Step 3: Cross multiply
    14,675.10x = 22,012.65 × 14,456.40
  4. Step 4: Simplify right side
    14,675.10x = 318,223,673.46
  5. Step 5: Solve for x
    x = 318,223,673.46/14,675.10
  6. Step 6: Final answer
    x = 21,684.60

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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.