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Finding the Fourth Proportional to 14,412.08, 21,623.88 and 7,830.56

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Solution

The fourth proportional to 14,412.08, 21,623.88 and 7,830.56 is: 11,748.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412.08 : 21,623.88 = 7,830.56 : x
  2. Step 2: Convert to fraction form
    14,412.08/21,623.88 = 7,830.56/x
  3. Step 3: Cross multiply
    14,412.08x = 21,623.88 × 7,830.56
  4. Step 4: Simplify right side
    14,412.08x = 169,327,089.77
  5. Step 5: Solve for x
    x = 169,327,089.77/14,412.08
  6. Step 6: Final answer
    x = 11,748.97

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