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Finding the Fourth Proportional to 14,117.99, 19,482.89 and 7,830.36

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Solution

The fourth proportional to 14,117.99, 19,482.89 and 7,830.36 is: 10,805.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.99 : 19,482.89 = 7,830.36 : x
  2. Step 2: Convert to fraction form
    14,117.99/19,482.89 = 7,830.36/x
  3. Step 3: Cross multiply
    14,117.99x = 19,482.89 × 7,830.36
  4. Step 4: Simplify right side
    14,117.99x = 152,558,003.39
  5. Step 5: Solve for x
    x = 152,558,003.39/14,117.99
  6. Step 6: Final answer
    x = 10,805.93

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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.