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Finding the Fourth Proportional to 12,638.48, 17,444.57 and 7,335

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Solution

The fourth proportional to 12,638.48, 17,444.57 and 7,335 is: 10,124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.48 : 17,444.57 = 7,335 : x
  2. Step 2: Convert to fraction form
    12,638.48/17,444.57 = 7,335/x
  3. Step 3: Cross multiply
    12,638.48x = 17,444.57 × 7,335
  4. Step 4: Simplify right side
    12,638.48x = 127,955,920.95
  5. Step 5: Solve for x
    x = 127,955,920.95/12,638.48
  6. Step 6: Final answer
    x = 10,124.31

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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.