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Finding the Fourth Proportional to 14,357.82, 21,536.74 and 4,498

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Solution

The fourth proportional to 14,357.82, 21,536.74 and 4,498 is: 6,747.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.82 : 21,536.74 = 4,498 : x
  2. Step 2: Convert to fraction form
    14,357.82/21,536.74 = 4,498/x
  3. Step 3: Cross multiply
    14,357.82x = 21,536.74 × 4,498
  4. Step 4: Simplify right side
    14,357.82x = 96,872,256.52
  5. Step 5: Solve for x
    x = 96,872,256.52/14,357.82
  6. Step 6: Final answer
    x = 6,747.00

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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.