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Finding the Fourth Proportional to 13,266.48, 19,925.10 and 8,346

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Solution

The fourth proportional to 13,266.48, 19,925.10 and 8,346 is: 12,534.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,266.48 : 19,925.10 = 8,346 : x
  2. Step 2: Convert to fraction form
    13,266.48/19,925.10 = 8,346/x
  3. Step 3: Cross multiply
    13,266.48x = 19,925.10 × 8,346
  4. Step 4: Simplify right side
    13,266.48x = 166,294,884.60
  5. Step 5: Solve for x
    x = 166,294,884.60/13,266.48
  6. Step 6: Final answer
    x = 12,534.97

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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.