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Finding the Fourth Proportional to 14,064.01, 21,106.40 and 6,668.50

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Solution

The fourth proportional to 14,064.01, 21,106.40 and 6,668.50 is: 10,007.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,064.01 : 21,106.40 = 6,668.50 : x
  2. Step 2: Convert to fraction form
    14,064.01/21,106.40 = 6,668.50/x
  3. Step 3: Cross multiply
    14,064.01x = 21,106.40 × 6,668.50
  4. Step 4: Simplify right side
    14,064.01x = 140,748,019.38
  5. Step 5: Solve for x
    x = 140,748,019.38/14,064.01
  6. Step 6: Final answer
    x = 10,007.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.