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Finding the Fourth Proportional to 23,392.40, 32,283.70 and 12,783.60

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Solution

The fourth proportional to 23,392.40, 32,283.70 and 12,783.60 is: 17,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,392.40 : 32,283.70 = 12,783.60 : x
  2. Step 2: Convert to fraction form
    23,392.40/32,283.70 = 12,783.60/x
  3. Step 3: Cross multiply
    23,392.40x = 32,283.70 × 12,783.60
  4. Step 4: Simplify right side
    23,392.40x = 412,701,875.36
  5. Step 5: Solve for x
    x = 412,701,875.36/23,392.40
  6. Step 6: Final answer
    x = 17,642.57

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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.