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Finding the Fourth Proportional to 23,505.14, 32,438.52 and 15,533.52

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Solution

The fourth proportional to 23,505.14, 32,438.52 and 15,533.52 is: 21,437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,505.14 : 32,438.52 = 15,533.52 : x
  2. Step 2: Convert to fraction form
    23,505.14/32,438.52 = 15,533.52/x
  3. Step 3: Cross multiply
    23,505.14x = 32,438.52 × 15,533.52
  4. Step 4: Simplify right side
    23,505.14x = 503,884,399.19
  5. Step 5: Solve for x
    x = 503,884,399.19/23,505.14
  6. Step 6: Final answer
    x = 21,437.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.