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Finding the Fourth Proportional to 23,266.50, 32,107.35 and 12,655.98

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Solution

The fourth proportional to 23,266.50, 32,107.35 and 12,655.98 is: 17,465.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,266.50 : 32,107.35 = 12,655.98 : x
  2. Step 2: Convert to fraction form
    23,266.50/32,107.35 = 12,655.98/x
  3. Step 3: Cross multiply
    23,266.50x = 32,107.35 × 12,655.98
  4. Step 4: Simplify right side
    23,266.50x = 406,349,979.45
  5. Step 5: Solve for x
    x = 406,349,979.45/23,266.50
  6. Step 6: Final answer
    x = 17,465.02

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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.