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Finding the Fourth Proportional to 14,946.30, 22,422.81 and 7,547.90

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Solution

The fourth proportional to 14,946.30, 22,422.81 and 7,547.90 is: 11,323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,946.30 : 22,422.81 = 7,547.90 : x
  2. Step 2: Convert to fraction form
    14,946.30/22,422.81 = 7,547.90/x
  3. Step 3: Cross multiply
    14,946.30x = 22,422.81 × 7,547.90
  4. Step 4: Simplify right side
    14,946.30x = 169,245,127.60
  5. Step 5: Solve for x
    x = 169,245,127.60/14,946.30
  6. Step 6: Final answer
    x = 11,323.55

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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.