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Finding the Fourth Proportional to 12,830.50, 17,703.93 and 8,574.72

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Solution

The fourth proportional to 12,830.50, 17,703.93 and 8,574.72 is: 11,831.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.50 : 17,703.93 = 8,574.72 : x
  2. Step 2: Convert to fraction form
    12,830.50/17,703.93 = 8,574.72/x
  3. Step 3: Cross multiply
    12,830.50x = 17,703.93 × 8,574.72
  4. Step 4: Simplify right side
    12,830.50x = 151,806,242.65
  5. Step 5: Solve for x
    x = 151,806,242.65/12,830.50
  6. Step 6: Final answer
    x = 11,831.67

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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.