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Finding the Fourth Proportional to 14,104, 19,461.84 and 7,815.52

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Solution

The fourth proportional to 14,104, 19,461.84 and 7,815.52 is: 10,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,104 : 19,461.84 = 7,815.52 : x
  2. Step 2: Convert to fraction form
    14,104/19,461.84 = 7,815.52/x
  3. Step 3: Cross multiply
    14,104x = 19,461.84 × 7,815.52
  4. Step 4: Simplify right side
    14,104x = 152,104,399.76
  5. Step 5: Solve for x
    x = 152,104,399.76/14,104
  6. Step 6: Final answer
    x = 10,784.49

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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.