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Finding the Fourth Proportional to 23,277.59, 32,123.80 and 13,206.45

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Solution

The fourth proportional to 23,277.59, 32,123.80 and 13,206.45 is: 18,225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,277.59 : 32,123.80 = 13,206.45 : x
  2. Step 2: Convert to fraction form
    23,277.59/32,123.80 = 13,206.45/x
  3. Step 3: Cross multiply
    23,277.59x = 32,123.80 × 13,206.45
  4. Step 4: Simplify right side
    23,277.59x = 424,241,495.48
  5. Step 5: Solve for x
    x = 424,241,495.48/23,277.59
  6. Step 6: Final answer
    x = 18,225.32

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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.