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Finding the Fourth Proportional to 12,326.34, 17,010.35 and 7,024.24

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Solution

The fourth proportional to 12,326.34, 17,010.35 and 7,024.24 is: 9,693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,326.34 : 17,010.35 = 7,024.24 : x
  2. Step 2: Convert to fraction form
    12,326.34/17,010.35 = 7,024.24/x
  3. Step 3: Cross multiply
    12,326.34x = 17,010.35 × 7,024.24
  4. Step 4: Simplify right side
    12,326.34x = 119,484,737.19
  5. Step 5: Solve for x
    x = 119,484,737.19/12,326.34
  6. Step 6: Final answer
    x = 9,693.45

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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.