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Finding the Fourth Proportional to 14,118.64, 19,484.14 and 7,830.88

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Solution

The fourth proportional to 14,118.64, 19,484.14 and 7,830.88 is: 10,806.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,118.64 : 19,484.14 = 7,830.88 : x
  2. Step 2: Convert to fraction form
    14,118.64/19,484.14 = 7,830.88/x
  3. Step 3: Cross multiply
    14,118.64x = 19,484.14 × 7,830.88
  4. Step 4: Simplify right side
    14,118.64x = 152,577,845.25
  5. Step 5: Solve for x
    x = 152,577,845.25/14,118.64
  6. Step 6: Final answer
    x = 10,806.84

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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.