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Finding the Fourth Proportional to 22,357.06, 33,533.54 and 7,564.29

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Solution

The fourth proportional to 22,357.06, 33,533.54 and 7,564.29 is: 11,345.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,357.06 : 33,533.54 = 7,564.29 : x
  2. Step 2: Convert to fraction form
    22,357.06/33,533.54 = 7,564.29/x
  3. Step 3: Cross multiply
    22,357.06x = 33,533.54 × 7,564.29
  4. Step 4: Simplify right side
    22,357.06x = 253,657,328.63
  5. Step 5: Solve for x
    x = 253,657,328.63/22,357.06
  6. Step 6: Final answer
    x = 11,345.74

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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.