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Finding the Fourth Proportional to 16,347.24, 24,518.12 and 4,657.68

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Solution

The fourth proportional to 16,347.24, 24,518.12 and 4,657.68 is: 6,985.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347.24 : 24,518.12 = 4,657.68 : x
  2. Step 2: Convert to fraction form
    16,347.24/24,518.12 = 4,657.68/x
  3. Step 3: Cross multiply
    16,347.24x = 24,518.12 × 4,657.68
  4. Step 4: Simplify right side
    16,347.24x = 114,197,533.87
  5. Step 5: Solve for x
    x = 114,197,533.87/16,347.24
  6. Step 6: Final answer
    x = 6,985.74

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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.