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Finding the Fourth Proportional to 15,502.77, 21,386.97 and 9,211.50

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Solution

The fourth proportional to 15,502.77, 21,386.97 and 9,211.50 is: 12,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,502.77 : 21,386.97 = 9,211.50 : x
  2. Step 2: Convert to fraction form
    15,502.77/21,386.97 = 9,211.50/x
  3. Step 3: Cross multiply
    15,502.77x = 21,386.97 × 9,211.50
  4. Step 4: Simplify right side
    15,502.77x = 197,006,074.16
  5. Step 5: Solve for x
    x = 197,006,074.16/15,502.77
  6. Step 6: Final answer
    x = 12,707.80

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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.