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Finding the Fourth Proportional to 16,225.70, 24,341.84 and 6,865.74

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Solution

The fourth proportional to 16,225.70, 24,341.84 and 6,865.74 is: 10,300.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,225.70 : 24,341.84 = 6,865.74 : x
  2. Step 2: Convert to fraction form
    16,225.70/24,341.84 = 6,865.74/x
  3. Step 3: Cross multiply
    16,225.70x = 24,341.84 × 6,865.74
  4. Step 4: Simplify right side
    16,225.70x = 167,124,710.23
  5. Step 5: Solve for x
    x = 167,124,710.23/16,225.70
  6. Step 6: Final answer
    x = 10,300.00

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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.