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Finding the Fourth Proportional to 21,368.72, 32,053.08 and 5,788.64

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Solution

The fourth proportional to 21,368.72, 32,053.08 and 5,788.64 is: 8,682.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,368.72 : 32,053.08 = 5,788.64 : x
  2. Step 2: Convert to fraction form
    21,368.72/32,053.08 = 5,788.64/x
  3. Step 3: Cross multiply
    21,368.72x = 32,053.08 × 5,788.64
  4. Step 4: Simplify right side
    21,368.72x = 185,543,741.01
  5. Step 5: Solve for x
    x = 185,543,741.01/21,368.72
  6. Step 6: Final answer
    x = 8,682.96

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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.