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Finding the Fourth Proportional to 13,730.64, 18,948.30 and 7,443

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Solution

The fourth proportional to 13,730.64, 18,948.30 and 7,443 is: 10,271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.64 : 18,948.30 = 7,443 : x
  2. Step 2: Convert to fraction form
    13,730.64/18,948.30 = 7,443/x
  3. Step 3: Cross multiply
    13,730.64x = 18,948.30 × 7,443
  4. Step 4: Simplify right side
    13,730.64x = 141,032,196.90
  5. Step 5: Solve for x
    x = 141,032,196.90/13,730.64
  6. Step 6: Final answer
    x = 10,271.35

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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.