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Finding the Fourth Proportional to 16,875.50, 25,316.84 and 5,779.22

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Solution

The fourth proportional to 16,875.50, 25,316.84 and 5,779.22 is: 8,670.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,875.50 : 25,316.84 = 5,779.22 : x
  2. Step 2: Convert to fraction form
    16,875.50/25,316.84 = 5,779.22/x
  3. Step 3: Cross multiply
    16,875.50x = 25,316.84 × 5,779.22
  4. Step 4: Simplify right side
    16,875.50x = 146,311,475.93
  5. Step 5: Solve for x
    x = 146,311,475.93/16,875.50
  6. Step 6: Final answer
    x = 8,670.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.