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Finding the Fourth Proportional to 15,803.81, 23,707.13 and 4,117.13

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Solution

The fourth proportional to 15,803.81, 23,707.13 and 4,117.13 is: 6,176.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,803.81 : 23,707.13 = 4,117.13 : x
  2. Step 2: Convert to fraction form
    15,803.81/23,707.13 = 4,117.13/x
  3. Step 3: Cross multiply
    15,803.81x = 23,707.13 × 4,117.13
  4. Step 4: Simplify right side
    15,803.81x = 97,605,309.08
  5. Step 5: Solve for x
    x = 97,605,309.08/15,803.81
  6. Step 6: Final answer
    x = 6,176.06

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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.