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Finding the Fourth Proportional to 15,477.60, 23,216.40 and 9,256.80

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Solution

The fourth proportional to 15,477.60, 23,216.40 and 9,256.80 is: 13,885.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,477.60 : 23,216.40 = 9,256.80 : x
  2. Step 2: Convert to fraction form
    15,477.60/23,216.40 = 9,256.80/x
  3. Step 3: Cross multiply
    15,477.60x = 23,216.40 × 9,256.80
  4. Step 4: Simplify right side
    15,477.60x = 214,909,571.52
  5. Step 5: Solve for x
    x = 214,909,571.52/15,477.60
  6. Step 6: Final answer
    x = 13,885.20

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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.