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Finding the Fourth Proportional to 25,225.80, 37,814.70 and 9,426.60

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Solution

The fourth proportional to 25,225.80, 37,814.70 and 9,426.60 is: 14,130.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,225.80 : 37,814.70 = 9,426.60 : x
  2. Step 2: Convert to fraction form
    25,225.80/37,814.70 = 9,426.60/x
  3. Step 3: Cross multiply
    25,225.80x = 37,814.70 × 9,426.60
  4. Step 4: Simplify right side
    25,225.80x = 356,464,051.02
  5. Step 5: Solve for x
    x = 356,464,051.02/25,225.80
  6. Step 6: Final answer
    x = 14,130.93

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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.