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Finding the Fourth Proportional to 23,266.64, 32,108.00 and 12,656.25

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Solution

The fourth proportional to 23,266.64, 32,108.00 and 12,656.25 is: 17,465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,266.64 : 32,108.00 = 12,656.25 : x
  2. Step 2: Convert to fraction form
    23,266.64/32,108.00 = 12,656.25/x
  3. Step 3: Cross multiply
    23,266.64x = 32,108.00 × 12,656.25
  4. Step 4: Simplify right side
    23,266.64x = 406,366,811.72
  5. Step 5: Solve for x
    x = 406,366,811.72/23,266.64
  6. Step 6: Final answer
    x = 17,465.64

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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.