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Finding the Fourth Proportional to 23,538.65, 32,483.23 and 12,783.45

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Solution

The fourth proportional to 23,538.65, 32,483.23 and 12,783.45 is: 17,641.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,538.65 : 32,483.23 = 12,783.45 : x
  2. Step 2: Convert to fraction form
    23,538.65/32,483.23 = 12,783.45/x
  3. Step 3: Cross multiply
    23,538.65x = 32,483.23 × 12,783.45
  4. Step 4: Simplify right side
    23,538.65x = 415,247,803.13
  5. Step 5: Solve for x
    x = 415,247,803.13/23,538.65
  6. Step 6: Final answer
    x = 17,641.10

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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.