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Finding the Fourth Proportional to 14,426.58, 21,600.76 and 7,486.50

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Solution

The fourth proportional to 14,426.58, 21,600.76 and 7,486.50 is: 11,209.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,426.58 : 21,600.76 = 7,486.50 : x
  2. Step 2: Convert to fraction form
    14,426.58/21,600.76 = 7,486.50/x
  3. Step 3: Cross multiply
    14,426.58x = 21,600.76 × 7,486.50
  4. Step 4: Simplify right side
    14,426.58x = 161,714,089.74
  5. Step 5: Solve for x
    x = 161,714,089.74/14,426.58
  6. Step 6: Final answer
    x = 11,209.45

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Why These Related Problems?

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