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Finding the Fourth Proportional to 25,533.32, 38,295.66 and 7,061

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Solution

The fourth proportional to 25,533.32, 38,295.66 and 7,061 is: 10,590.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,533.32 : 38,295.66 = 7,061 : x
  2. Step 2: Convert to fraction form
    25,533.32/38,295.66 = 7,061/x
  3. Step 3: Cross multiply
    25,533.32x = 38,295.66 × 7,061
  4. Step 4: Simplify right side
    25,533.32x = 270,405,655.26
  5. Step 5: Solve for x
    x = 270,405,655.26/25,533.32
  6. Step 6: Final answer
    x = 10,590.31

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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.