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Finding the Fourth Proportional to 14,031.03, 19,362.93 and 7,657.67

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Solution

The fourth proportional to 14,031.03, 19,362.93 and 7,657.67 is: 10,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031.03 : 19,362.93 = 7,657.67 : x
  2. Step 2: Convert to fraction form
    14,031.03/19,362.93 = 7,657.67/x
  3. Step 3: Cross multiply
    14,031.03x = 19,362.93 × 7,657.67
  4. Step 4: Simplify right side
    14,031.03x = 148,274,831.36
  5. Step 5: Solve for x
    x = 148,274,831.36/14,031.03
  6. Step 6: Final answer
    x = 10,567.64

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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.