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Finding the Fourth Proportional to 16,509.67, 24,762.75 and 4,663.15

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Solution

The fourth proportional to 16,509.67, 24,762.75 and 4,663.15 is: 6,994.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.67 : 24,762.75 = 4,663.15 : x
  2. Step 2: Convert to fraction form
    16,509.67/24,762.75 = 4,663.15/x
  3. Step 3: Cross multiply
    16,509.67x = 24,762.75 × 4,663.15
  4. Step 4: Simplify right side
    16,509.67x = 115,472,417.66
  5. Step 5: Solve for x
    x = 115,472,417.66/16,509.67
  6. Step 6: Final answer
    x = 6,994.23

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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.