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Finding the Fourth Proportional to 14,118.78, 19,483.14 and 7,830.75

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Solution

The fourth proportional to 14,118.78, 19,483.14 and 7,830.75 is: 10,806.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,118.78 : 19,483.14 = 7,830.75 : x
  2. Step 2: Convert to fraction form
    14,118.78/19,483.14 = 7,830.75/x
  3. Step 3: Cross multiply
    14,118.78x = 19,483.14 × 7,830.75
  4. Step 4: Simplify right side
    14,118.78x = 152,567,598.56
  5. Step 5: Solve for x
    x = 152,567,598.56/14,118.78
  6. Step 6: Final answer
    x = 10,806.00

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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.