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Finding the Fourth Proportional to 14,038.42, 19,371.45 and 7,749.22

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Solution

The fourth proportional to 14,038.42, 19,371.45 and 7,749.22 is: 10,693.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,038.42 : 19,371.45 = 7,749.22 : x
  2. Step 2: Convert to fraction form
    14,038.42/19,371.45 = 7,749.22/x
  3. Step 3: Cross multiply
    14,038.42x = 19,371.45 × 7,749.22
  4. Step 4: Simplify right side
    14,038.42x = 150,113,627.77
  5. Step 5: Solve for x
    x = 150,113,627.77/14,038.42
  6. Step 6: Final answer
    x = 10,693.06

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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.