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Finding the Fourth Proportional to 25,234.34, 37,855.60 and 7,700.06

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Solution

The fourth proportional to 25,234.34, 37,855.60 and 7,700.06 is: 11,551.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,234.34 : 37,855.60 = 7,700.06 : x
  2. Step 2: Convert to fraction form
    25,234.34/37,855.60 = 7,700.06/x
  3. Step 3: Cross multiply
    25,234.34x = 37,855.60 × 7,700.06
  4. Step 4: Simplify right side
    25,234.34x = 291,490,510.04
  5. Step 5: Solve for x
    x = 291,490,510.04/25,234.34
  6. Step 6: Final answer
    x = 11,551.35

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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.