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Finding the Fourth Proportional to 13,718.16, 18,931 and 7,430.48

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Solution

The fourth proportional to 13,718.16, 18,931 and 7,430.48 is: 10,254.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.16 : 18,931 = 7,430.48 : x
  2. Step 2: Convert to fraction form
    13,718.16/18,931 = 7,430.48/x
  3. Step 3: Cross multiply
    13,718.16x = 18,931 × 7,430.48
  4. Step 4: Simplify right side
    13,718.16x = 140,666,416.88
  5. Step 5: Solve for x
    x = 140,666,416.88/13,718.16
  6. Step 6: Final answer
    x = 10,254.03

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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.