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Finding the Fourth Proportional to 12,337.84, 17,024.98 and 7,032.36

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Solution

The fourth proportional to 12,337.84, 17,024.98 and 7,032.36 is: 9,703.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,337.84 : 17,024.98 = 7,032.36 : x
  2. Step 2: Convert to fraction form
    12,337.84/17,024.98 = 7,032.36/x
  3. Step 3: Cross multiply
    12,337.84x = 17,024.98 × 7,032.36
  4. Step 4: Simplify right side
    12,337.84x = 119,725,788.35
  5. Step 5: Solve for x
    x = 119,725,788.35/12,337.84
  6. Step 6: Final answer
    x = 9,703.95

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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.