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Finding the Fourth Proportional to 30,802.40, 46,196.63 and 14,146.42

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Solution

The fourth proportional to 30,802.40, 46,196.63 and 14,146.42 is: 21,216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.40 : 46,196.63 = 14,146.42 : x
  2. Step 2: Convert to fraction form
    30,802.40/46,196.63 = 14,146.42/x
  3. Step 3: Cross multiply
    30,802.40x = 46,196.63 × 14,146.42
  4. Step 4: Simplify right side
    30,802.40x = 653,516,744.34
  5. Step 5: Solve for x
    x = 653,516,744.34/30,802.40
  6. Step 6: Final answer
    x = 21,216.43

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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.