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Finding the Fourth Proportional to 14,031.07, 19,362.99 and 7,657.71

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Solution

The fourth proportional to 14,031.07, 19,362.99 and 7,657.71 is: 10,567.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031.07 : 19,362.99 = 7,657.71 : x
  2. Step 2: Convert to fraction form
    14,031.07/19,362.99 = 7,657.71/x
  3. Step 3: Cross multiply
    14,031.07x = 19,362.99 × 7,657.71
  4. Step 4: Simplify right side
    14,031.07x = 148,276,234.76
  5. Step 5: Solve for x
    x = 148,276,234.76/14,031.07
  6. Step 6: Final answer
    x = 10,567.71

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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.