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Finding the Fourth Proportional to 14,052.30, 19,392.13 and 7,764.63

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Solution

The fourth proportional to 14,052.30, 19,392.13 and 7,764.63 is: 10,715.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,052.30 : 19,392.13 = 7,764.63 : x
  2. Step 2: Convert to fraction form
    14,052.30/19,392.13 = 7,764.63/x
  3. Step 3: Cross multiply
    14,052.30x = 19,392.13 × 7,764.63
  4. Step 4: Simplify right side
    14,052.30x = 150,572,714.36
  5. Step 5: Solve for x
    x = 150,572,714.36/14,052.30
  6. Step 6: Final answer
    x = 10,715.17

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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.