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Finding the Fourth Proportional to 16,430.16, 24,661.68 and 7,671.24

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Solution

The fourth proportional to 16,430.16, 24,661.68 and 7,671.24 is: 11,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430.16 : 24,661.68 = 7,671.24 : x
  2. Step 2: Convert to fraction form
    16,430.16/24,661.68 = 7,671.24/x
  3. Step 3: Cross multiply
    16,430.16x = 24,661.68 × 7,671.24
  4. Step 4: Simplify right side
    16,430.16x = 189,185,666.08
  5. Step 5: Solve for x
    x = 189,185,666.08/16,430.16
  6. Step 6: Final answer
    x = 11,514.54

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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.