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Finding the Fourth Proportional to 14,946.70, 20,477.07 and 14,386.18

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Solution

The fourth proportional to 14,946.70, 20,477.07 and 14,386.18 is: 19,709.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,946.70 : 20,477.07 = 14,386.18 : x
  2. Step 2: Convert to fraction form
    14,946.70/20,477.07 = 14,386.18/x
  3. Step 3: Cross multiply
    14,946.70x = 20,477.07 × 14,386.18
  4. Step 4: Simplify right side
    14,946.70x = 294,586,640.58
  5. Step 5: Solve for x
    x = 294,586,640.58/14,946.70
  6. Step 6: Final answer
    x = 19,709.15

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.