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Finding the Fourth Proportional to 15,778.06, 23,634.88 and 9,835.50

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Solution

The fourth proportional to 15,778.06, 23,634.88 and 9,835.50 is: 14,733.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.06 : 23,634.88 = 9,835.50 : x
  2. Step 2: Convert to fraction form
    15,778.06/23,634.88 = 9,835.50/x
  3. Step 3: Cross multiply
    15,778.06x = 23,634.88 × 9,835.50
  4. Step 4: Simplify right side
    15,778.06x = 232,460,862.24
  5. Step 5: Solve for x
    x = 232,460,862.24/15,778.06
  6. Step 6: Final answer
    x = 14,733.17

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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.