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Finding the Fourth Proportional to 12,831.68, 17,703.96 and 7,526.72

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Solution

The fourth proportional to 12,831.68, 17,703.96 and 7,526.72 is: 10,384.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.68 : 17,703.96 = 7,526.72 : x
  2. Step 2: Convert to fraction form
    12,831.68/17,703.96 = 7,526.72/x
  3. Step 3: Cross multiply
    12,831.68x = 17,703.96 × 7,526.72
  4. Step 4: Simplify right side
    12,831.68x = 133,252,749.81
  5. Step 5: Solve for x
    x = 133,252,749.81/12,831.68
  6. Step 6: Final answer
    x = 10,384.67

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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.