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Finding the Fourth Proportional to 14,127.58, 19,496.73 and 7,840

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Solution

The fourth proportional to 14,127.58, 19,496.73 and 7,840 is: 10,819.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,127.58 : 19,496.73 = 7,840 : x
  2. Step 2: Convert to fraction form
    14,127.58/19,496.73 = 7,840/x
  3. Step 3: Cross multiply
    14,127.58x = 19,496.73 × 7,840
  4. Step 4: Simplify right side
    14,127.58x = 152,854,363.20
  5. Step 5: Solve for x
    x = 152,854,363.20/14,127.58
  6. Step 6: Final answer
    x = 10,819.57

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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.