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Finding the Fourth Proportional to 14,970.33, 22,459.44 and 5,109.59

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Solution

The fourth proportional to 14,970.33, 22,459.44 and 5,109.59 is: 7,665.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970.33 : 22,459.44 = 5,109.59 : x
  2. Step 2: Convert to fraction form
    14,970.33/22,459.44 = 5,109.59/x
  3. Step 3: Cross multiply
    14,970.33x = 22,459.44 × 5,109.59
  4. Step 4: Simplify right side
    14,970.33x = 114,758,605.34
  5. Step 5: Solve for x
    x = 114,758,605.34/14,970.33
  6. Step 6: Final answer
    x = 7,665.74

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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.