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Finding the Fourth Proportional to 14,412.57, 21,475.57 and 12,840.49

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Solution

The fourth proportional to 14,412.57, 21,475.57 and 12,840.49 is: 19,133.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412.57 : 21,475.57 = 12,840.49 : x
  2. Step 2: Convert to fraction form
    14,412.57/21,475.57 = 12,840.49/x
  3. Step 3: Cross multiply
    14,412.57x = 21,475.57 × 12,840.49
  4. Step 4: Simplify right side
    14,412.57x = 275,756,841.83
  5. Step 5: Solve for x
    x = 275,756,841.83/14,412.57
  6. Step 6: Final answer
    x = 19,133.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.