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Finding the Fourth Proportional to 35,624.80, 53,419.94 and 14,556.47

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Solution

The fourth proportional to 35,624.80, 53,419.94 and 14,556.47 is: 21,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,624.80 : 53,419.94 = 14,556.47 : x
  2. Step 2: Convert to fraction form
    35,624.80/53,419.94 = 14,556.47/x
  3. Step 3: Cross multiply
    35,624.80x = 53,419.94 × 14,556.47
  4. Step 4: Simplify right side
    35,624.80x = 777,605,681.23
  5. Step 5: Solve for x
    x = 777,605,681.23/35,624.80
  6. Step 6: Final answer
    x = 21,827.65

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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.