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Finding the Fourth Proportional to 12,564.60, 17,319.26 and 9,907.64

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Solution

The fourth proportional to 12,564.60, 17,319.26 and 9,907.64 is: 13,656.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.60 : 17,319.26 = 9,907.64 : x
  2. Step 2: Convert to fraction form
    12,564.60/17,319.26 = 9,907.64/x
  3. Step 3: Cross multiply
    12,564.60x = 17,319.26 × 9,907.64
  4. Step 4: Simplify right side
    12,564.60x = 171,592,993.15
  5. Step 5: Solve for x
    x = 171,592,993.15/12,564.60
  6. Step 6: Final answer
    x = 13,656.86

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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.