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Finding the Fourth Proportional to 15,985.69, 23,987.17 and 7,777.69

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Solution

The fourth proportional to 15,985.69, 23,987.17 and 7,777.69 is: 11,670.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,985.69 : 23,987.17 = 7,777.69 : x
  2. Step 2: Convert to fraction form
    15,985.69/23,987.17 = 7,777.69/x
  3. Step 3: Cross multiply
    15,985.69x = 23,987.17 × 7,777.69
  4. Step 4: Simplify right side
    15,985.69x = 186,564,721.99
  5. Step 5: Solve for x
    x = 186,564,721.99/15,985.69
  6. Step 6: Final answer
    x = 11,670.73

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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.