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Finding the Fourth Proportional to 13,803.18, 20,684.70 and 10,457.10

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Solution

The fourth proportional to 13,803.18, 20,684.70 and 10,457.10 is: 15,670.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.18 : 20,684.70 = 10,457.10 : x
  2. Step 2: Convert to fraction form
    13,803.18/20,684.70 = 10,457.10/x
  3. Step 3: Cross multiply
    13,803.18x = 20,684.70 × 10,457.10
  4. Step 4: Simplify right side
    13,803.18x = 216,301,976.37
  5. Step 5: Solve for x
    x = 216,301,976.37/13,803.18
  6. Step 6: Final answer
    x = 15,670.45

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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.