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Finding the Fourth Proportional to 13,357.64, 20,038.28 and 5,564.63

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Solution

The fourth proportional to 13,357.64, 20,038.28 and 5,564.63 is: 8,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,357.64 : 20,038.28 = 5,564.63 : x
  2. Step 2: Convert to fraction form
    13,357.64/20,038.28 = 5,564.63/x
  3. Step 3: Cross multiply
    13,357.64x = 20,038.28 × 5,564.63
  4. Step 4: Simplify right side
    13,357.64x = 111,505,486.02
  5. Step 5: Solve for x
    x = 111,505,486.02/13,357.64
  6. Step 6: Final answer
    x = 8,347.70

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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.