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Finding the Fourth Proportional to 14,041.20, 19,683.60 and 14,041.20

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Solution

The fourth proportional to 14,041.20, 19,683.60 and 14,041.20 is: 19,683.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,041.20 : 19,683.60 = 14,041.20 : x
  2. Step 2: Convert to fraction form
    14,041.20/19,683.60 = 14,041.20/x
  3. Step 3: Cross multiply
    14,041.20x = 19,683.60 × 14,041.20
  4. Step 4: Simplify right side
    14,041.20x = 276,381,364.32
  5. Step 5: Solve for x
    x = 276,381,364.32/14,041.20
  6. Step 6: Final answer
    x = 19,683.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.