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Finding the Fourth Proportional to 22,048.60, 30,415.40 and 13,968

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Solution

The fourth proportional to 22,048.60, 30,415.40 and 13,968 is: 19,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,048.60 : 30,415.40 = 13,968 : x
  2. Step 2: Convert to fraction form
    22,048.60/30,415.40 = 13,968/x
  3. Step 3: Cross multiply
    22,048.60x = 30,415.40 × 13,968
  4. Step 4: Simplify right side
    22,048.60x = 424,842,307.20
  5. Step 5: Solve for x
    x = 424,842,307.20/22,048.60
  6. Step 6: Final answer
    x = 19,268.45

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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.