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Finding the Fourth Proportional to 15,708.33, 23,533.23 and 7,801.82

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Solution

The fourth proportional to 15,708.33, 23,533.23 and 7,801.82 is: 11,688.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,708.33 : 23,533.23 = 7,801.82 : x
  2. Step 2: Convert to fraction form
    15,708.33/23,533.23 = 7,801.82/x
  3. Step 3: Cross multiply
    15,708.33x = 23,533.23 × 7,801.82
  4. Step 4: Simplify right side
    15,708.33x = 183,602,024.32
  5. Step 5: Solve for x
    x = 183,602,024.32/15,708.33
  6. Step 6: Final answer
    x = 11,688.20

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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.