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Finding the Fourth Proportional to 15,833.34, 21,852.72 and 9,117.77

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Solution

The fourth proportional to 15,833.34, 21,852.72 and 9,117.77 is: 12,584.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.34 : 21,852.72 = 9,117.77 : x
  2. Step 2: Convert to fraction form
    15,833.34/21,852.72 = 9,117.77/x
  3. Step 3: Cross multiply
    15,833.34x = 21,852.72 × 9,117.77
  4. Step 4: Simplify right side
    15,833.34x = 199,247,965.57
  5. Step 5: Solve for x
    x = 199,247,965.57/15,833.34
  6. Step 6: Final answer
    x = 12,584.08

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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.