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Finding the Fourth Proportional to 10,031.99, 13,829.72 and 7,038.54

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Solution

The fourth proportional to 10,031.99, 13,829.72 and 7,038.54 is: 9,703.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.99 : 13,829.72 = 7,038.54 : x
  2. Step 2: Convert to fraction form
    10,031.99/13,829.72 = 7,038.54/x
  3. Step 3: Cross multiply
    10,031.99x = 13,829.72 × 7,038.54
  4. Step 4: Simplify right side
    10,031.99x = 97,341,002.22
  5. Step 5: Solve for x
    x = 97,341,002.22/10,031.99
  6. Step 6: Final answer
    x = 9,703.06

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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.