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Finding the Fourth Proportional to 14,445.07, 21,658 and 5,209.87

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Solution

The fourth proportional to 14,445.07, 21,658 and 5,209.87 is: 7,811.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,445.07 : 21,658 = 5,209.87 : x
  2. Step 2: Convert to fraction form
    14,445.07/21,658 = 5,209.87/x
  3. Step 3: Cross multiply
    14,445.07x = 21,658 × 5,209.87
  4. Step 4: Simplify right side
    14,445.07x = 112,835,364.46
  5. Step 5: Solve for x
    x = 112,835,364.46/14,445.07
  6. Step 6: Final answer
    x = 7,811.34

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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.