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Finding the Fourth Proportional to 15,707.95, 21,670.02 and 9,416.68

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Solution

The fourth proportional to 15,707.95, 21,670.02 and 9,416.68 is: 12,990.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,707.95 : 21,670.02 = 9,416.68 : x
  2. Step 2: Convert to fraction form
    15,707.95/21,670.02 = 9,416.68/x
  3. Step 3: Cross multiply
    15,707.95x = 21,670.02 × 9,416.68
  4. Step 4: Simplify right side
    15,707.95x = 204,059,643.93
  5. Step 5: Solve for x
    x = 204,059,643.93/15,707.95
  6. Step 6: Final answer
    x = 12,990.85

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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.