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Finding the Fourth Proportional to 13,878.63, 19,154.36 and 7,830.11

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Solution

The fourth proportional to 13,878.63, 19,154.36 and 7,830.11 is: 10,806.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.63 : 19,154.36 = 7,830.11 : x
  2. Step 2: Convert to fraction form
    13,878.63/19,154.36 = 7,830.11/x
  3. Step 3: Cross multiply
    13,878.63x = 19,154.36 × 7,830.11
  4. Step 4: Simplify right side
    13,878.63x = 149,980,813.24
  5. Step 5: Solve for x
    x = 149,980,813.24/13,878.63
  6. Step 6: Final answer
    x = 10,806.60

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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.