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Finding the Fourth Proportional to 15,888.47, 23,830.88 and 4,202.60

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Solution

The fourth proportional to 15,888.47, 23,830.88 and 4,202.60 is: 6,303.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,888.47 : 23,830.88 = 4,202.60 : x
  2. Step 2: Convert to fraction form
    15,888.47/23,830.88 = 4,202.60/x
  3. Step 3: Cross multiply
    15,888.47x = 23,830.88 × 4,202.60
  4. Step 4: Simplify right side
    15,888.47x = 100,151,656.29
  5. Step 5: Solve for x
    x = 100,151,656.29/15,888.47
  6. Step 6: Final answer
    x = 6,303.42

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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.