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Finding the Fourth Proportional to 13,718.48, 18,931.44 and 7,430.87

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Solution

The fourth proportional to 13,718.48, 18,931.44 and 7,430.87 is: 10,254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.48 : 18,931.44 = 7,430.87 : x
  2. Step 2: Convert to fraction form
    13,718.48/18,931.44 = 7,430.87/x
  3. Step 3: Cross multiply
    13,718.48x = 18,931.44 × 7,430.87
  4. Step 4: Simplify right side
    13,718.48x = 140,677,069.55
  5. Step 5: Solve for x
    x = 140,677,069.55/13,718.48
  6. Step 6: Final answer
    x = 10,254.57

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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.