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Finding the Fourth Proportional to 16,514.48, 24,709.64 and 9,826.36

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Solution

The fourth proportional to 16,514.48, 24,709.64 and 9,826.36 is: 14,702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,514.48 : 24,709.64 = 9,826.36 : x
  2. Step 2: Convert to fraction form
    16,514.48/24,709.64 = 9,826.36/x
  3. Step 3: Cross multiply
    16,514.48x = 24,709.64 × 9,826.36
  4. Step 4: Simplify right side
    16,514.48x = 242,805,818.11
  5. Step 5: Solve for x
    x = 242,805,818.11/16,514.48
  6. Step 6: Final answer
    x = 14,702.60

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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.