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Finding the Fourth Proportional to 25,533.12, 38,301.53 and 6,813.12

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Solution

The fourth proportional to 25,533.12, 38,301.53 and 6,813.12 is: 10,220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,533.12 : 38,301.53 = 6,813.12 : x
  2. Step 2: Convert to fraction form
    25,533.12/38,301.53 = 6,813.12/x
  3. Step 3: Cross multiply
    25,533.12x = 38,301.53 × 6,813.12
  4. Step 4: Simplify right side
    25,533.12x = 260,952,886.01
  5. Step 5: Solve for x
    x = 260,952,886.01/25,533.12
  6. Step 6: Final answer
    x = 10,220.17

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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.