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Finding the Fourth Proportional to 15,533.61, 23,291.53 and 7,209.34

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Solution

The fourth proportional to 15,533.61, 23,291.53 and 7,209.34 is: 10,809.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,533.61 : 23,291.53 = 7,209.34 : x
  2. Step 2: Convert to fraction form
    15,533.61/23,291.53 = 7,209.34/x
  3. Step 3: Cross multiply
    15,533.61x = 23,291.53 × 7,209.34
  4. Step 4: Simplify right side
    15,533.61x = 167,916,558.89
  5. Step 5: Solve for x
    x = 167,916,558.89/15,533.61
  6. Step 6: Final answer
    x = 10,809.89

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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.