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Finding the Fourth Proportional to 25,588.61, 35,309.76 and 14,257.67

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Solution

The fourth proportional to 25,588.61, 35,309.76 and 14,257.67 is: 19,674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,588.61 : 35,309.76 = 14,257.67 : x
  2. Step 2: Convert to fraction form
    25,588.61/35,309.76 = 14,257.67/x
  3. Step 3: Cross multiply
    25,588.61x = 35,309.76 × 14,257.67
  4. Step 4: Simplify right side
    25,588.61x = 503,434,905.86
  5. Step 5: Solve for x
    x = 503,434,905.86/25,588.61
  6. Step 6: Final answer
    x = 19,674.18

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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.