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Finding the Fourth Proportional to 14,106.76, 19,468.58 and 7,820.36

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Solution

The fourth proportional to 14,106.76, 19,468.58 and 7,820.36 is: 10,792.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,106.76 : 19,468.58 = 7,820.36 : x
  2. Step 2: Convert to fraction form
    14,106.76/19,468.58 = 7,820.36/x
  3. Step 3: Cross multiply
    14,106.76x = 19,468.58 × 7,820.36
  4. Step 4: Simplify right side
    14,106.76x = 152,251,304.29
  5. Step 5: Solve for x
    x = 152,251,304.29/14,106.76
  6. Step 6: Final answer
    x = 10,792.79

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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.