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Finding the Fourth Proportional to 15,596.40, 23,395.80 and 5,208.16

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Solution

The fourth proportional to 15,596.40, 23,395.80 and 5,208.16 is: 7,812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,596.40 : 23,395.80 = 5,208.16 : x
  2. Step 2: Convert to fraction form
    15,596.40/23,395.80 = 5,208.16/x
  3. Step 3: Cross multiply
    15,596.40x = 23,395.80 × 5,208.16
  4. Step 4: Simplify right side
    15,596.40x = 121,849,069.73
  5. Step 5: Solve for x
    x = 121,849,069.73/15,596.40
  6. Step 6: Final answer
    x = 7,812.64

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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.