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Finding the Fourth Proportional to 19,533.51, 29,269.53 and 15,102

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Solution

The fourth proportional to 19,533.51, 29,269.53 and 15,102 is: 22,629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,533.51 : 29,269.53 = 15,102 : x
  2. Step 2: Convert to fraction form
    19,533.51/29,269.53 = 15,102/x
  3. Step 3: Cross multiply
    19,533.51x = 29,269.53 × 15,102
  4. Step 4: Simplify right side
    19,533.51x = 442,028,442.06
  5. Step 5: Solve for x
    x = 442,028,442.06/19,533.51
  6. Step 6: Final answer
    x = 22,629.24

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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.