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Finding the Fourth Proportional to 14,349.48, 19,802.15 and 7,975.90

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Solution

The fourth proportional to 14,349.48, 19,802.15 and 7,975.90 is: 11,006.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,349.48 : 19,802.15 = 7,975.90 : x
  2. Step 2: Convert to fraction form
    14,349.48/19,802.15 = 7,975.90/x
  3. Step 3: Cross multiply
    14,349.48x = 19,802.15 × 7,975.90
  4. Step 4: Simplify right side
    14,349.48x = 157,939,977.81
  5. Step 5: Solve for x
    x = 157,939,977.81/14,349.48
  6. Step 6: Final answer
    x = 11,006.67

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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.