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Finding the Fourth Proportional to 14,386.08, 21,549.96 and 7,446

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Solution

The fourth proportional to 14,386.08, 21,549.96 and 7,446 is: 11,153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,386.08 : 21,549.96 = 7,446 : x
  2. Step 2: Convert to fraction form
    14,386.08/21,549.96 = 7,446/x
  3. Step 3: Cross multiply
    14,386.08x = 21,549.96 × 7,446
  4. Step 4: Simplify right side
    14,386.08x = 160,461,002.16
  5. Step 5: Solve for x
    x = 160,461,002.16/14,386.08
  6. Step 6: Final answer
    x = 11,153.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.