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Finding the Fourth Proportional to 27,420.40, 37,840 and 14,845.20

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Solution

The fourth proportional to 27,420.40, 37,840 and 14,845.20 is: 20,486.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,420.40 : 37,840 = 14,845.20 : x
  2. Step 2: Convert to fraction form
    27,420.40/37,840 = 14,845.20/x
  3. Step 3: Cross multiply
    27,420.40x = 37,840 × 14,845.20
  4. Step 4: Simplify right side
    27,420.40x = 561,742,368
  5. Step 5: Solve for x
    x = 561,742,368/27,420.40
  6. Step 6: Final answer
    x = 20,486.29

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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.