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Finding the Fourth Proportional to 14,671.76, 22,009.82 and 5,312.48

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Solution

The fourth proportional to 14,671.76, 22,009.82 and 5,312.48 is: 7,969.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,671.76 : 22,009.82 = 5,312.48 : x
  2. Step 2: Convert to fraction form
    14,671.76/22,009.82 = 5,312.48/x
  3. Step 3: Cross multiply
    14,671.76x = 22,009.82 × 5,312.48
  4. Step 4: Simplify right side
    14,671.76x = 116,926,728.55
  5. Step 5: Solve for x
    x = 116,926,728.55/14,671.76
  6. Step 6: Final answer
    x = 7,969.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.