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Finding the Fourth Proportional to 14,118, 19,482.93 and 7,830.39

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Solution

The fourth proportional to 14,118, 19,482.93 and 7,830.39 is: 10,805.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,118 : 19,482.93 = 7,830.39 : x
  2. Step 2: Convert to fraction form
    14,118/19,482.93 = 7,830.39/x
  3. Step 3: Cross multiply
    14,118x = 19,482.93 × 7,830.39
  4. Step 4: Simplify right side
    14,118x = 152,558,940.24
  5. Step 5: Solve for x
    x = 152,558,940.24/14,118
  6. Step 6: Final answer
    x = 10,805.99

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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.