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Finding the Fourth Proportional to 12,825.12, 17,699.16 and 7,236

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Solution

The fourth proportional to 12,825.12, 17,699.16 and 7,236 is: 9,985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.12 : 17,699.16 = 7,236 : x
  2. Step 2: Convert to fraction form
    12,825.12/17,699.16 = 7,236/x
  3. Step 3: Cross multiply
    12,825.12x = 17,699.16 × 7,236
  4. Step 4: Simplify right side
    12,825.12x = 128,071,121.76
  5. Step 5: Solve for x
    x = 128,071,121.76/12,825.12
  6. Step 6: Final answer
    x = 9,985.96

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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.