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Finding the Fourth Proportional to 15,509.63, 21,406.94 and 9,225.65

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Solution

The fourth proportional to 15,509.63, 21,406.94 and 9,225.65 is: 12,733.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.63 : 21,406.94 = 9,225.65 : x
  2. Step 2: Convert to fraction form
    15,509.63/21,406.94 = 9,225.65/x
  3. Step 3: Cross multiply
    15,509.63x = 21,406.94 × 9,225.65
  4. Step 4: Simplify right side
    15,509.63x = 197,492,782.85
  5. Step 5: Solve for x
    x = 197,492,782.85/15,509.63
  6. Step 6: Final answer
    x = 12,733.56

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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.