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Finding the Fourth Proportional to 23,653.60, 32,646.16 and 14,222.80

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Solution

The fourth proportional to 23,653.60, 32,646.16 and 14,222.80 is: 19,629.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653.60 : 32,646.16 = 14,222.80 : x
  2. Step 2: Convert to fraction form
    23,653.60/32,646.16 = 14,222.80/x
  3. Step 3: Cross multiply
    23,653.60x = 32,646.16 × 14,222.80
  4. Step 4: Simplify right side
    23,653.60x = 464,319,804.45
  5. Step 5: Solve for x
    x = 464,319,804.45/23,653.60
  6. Step 6: Final answer
    x = 19,629.98

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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.