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Finding the Fourth Proportional to 15,740.54, 21,709.04 and 11,486.82

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Solution

The fourth proportional to 15,740.54, 21,709.04 and 11,486.82 is: 15,842.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,740.54 : 21,709.04 = 11,486.82 : x
  2. Step 2: Convert to fraction form
    15,740.54/21,709.04 = 11,486.82/x
  3. Step 3: Cross multiply
    15,740.54x = 21,709.04 × 11,486.82
  4. Step 4: Simplify right side
    15,740.54x = 249,367,777.42
  5. Step 5: Solve for x
    x = 249,367,777.42/15,740.54
  6. Step 6: Final answer
    x = 15,842.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.