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Finding the Fourth Proportional to 16,386.51, 24,580.26 and 5,142.99

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Solution

The fourth proportional to 16,386.51, 24,580.26 and 5,142.99 is: 7,714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,386.51 : 24,580.26 = 5,142.99 : x
  2. Step 2: Convert to fraction form
    16,386.51/24,580.26 = 5,142.99/x
  3. Step 3: Cross multiply
    16,386.51x = 24,580.26 × 5,142.99
  4. Step 4: Simplify right side
    16,386.51x = 126,416,031.38
  5. Step 5: Solve for x
    x = 126,416,031.38/16,386.51
  6. Step 6: Final answer
    x = 7,714.64

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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.