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Finding the Fourth Proportional to 14,118.17, 19,484.15 and 7,830.54

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Solution

The fourth proportional to 14,118.17, 19,484.15 and 7,830.54 is: 10,806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,118.17 : 19,484.15 = 7,830.54 : x
  2. Step 2: Convert to fraction form
    14,118.17/19,484.15 = 7,830.54/x
  3. Step 3: Cross multiply
    14,118.17x = 19,484.15 × 7,830.54
  4. Step 4: Simplify right side
    14,118.17x = 152,571,376.79
  5. Step 5: Solve for x
    x = 152,571,376.79/14,118.17
  6. Step 6: Final answer
    x = 10,806.74

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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.