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Finding the Fourth Proportional to 15,646.01, 23,470.45 and 5,116.08

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Solution

The fourth proportional to 15,646.01, 23,470.45 and 5,116.08 is: 7,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,646.01 : 23,470.45 = 5,116.08 : x
  2. Step 2: Convert to fraction form
    15,646.01/23,470.45 = 5,116.08/x
  3. Step 3: Cross multiply
    15,646.01x = 23,470.45 × 5,116.08
  4. Step 4: Simplify right side
    15,646.01x = 120,076,706.23
  5. Step 5: Solve for x
    x = 120,076,706.23/15,646.01
  6. Step 6: Final answer
    x = 7,674.59

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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.