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Finding the Fourth Proportional to 22,848.16, 34,223.64 and 13,478.08

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Solution

The fourth proportional to 22,848.16, 34,223.64 and 13,478.08 is: 20,188.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,848.16 : 34,223.64 = 13,478.08 : x
  2. Step 2: Convert to fraction form
    22,848.16/34,223.64 = 13,478.08/x
  3. Step 3: Cross multiply
    22,848.16x = 34,223.64 × 13,478.08
  4. Step 4: Simplify right side
    22,848.16x = 461,268,957.81
  5. Step 5: Solve for x
    x = 461,268,957.81/22,848.16
  6. Step 6: Final answer
    x = 20,188.45

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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.