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Finding the Fourth Proportional to 14,002.30, 19,322.25 and 7,714.67

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Solution

The fourth proportional to 14,002.30, 19,322.25 and 7,714.67 is: 10,645.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.30 : 19,322.25 = 7,714.67 : x
  2. Step 2: Convert to fraction form
    14,002.30/19,322.25 = 7,714.67/x
  3. Step 3: Cross multiply
    14,002.30x = 19,322.25 × 7,714.67
  4. Step 4: Simplify right side
    14,002.30x = 149,064,782.41
  5. Step 5: Solve for x
    x = 149,064,782.41/14,002.30
  6. Step 6: Final answer
    x = 10,645.74

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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.