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Finding the Fourth Proportional to 15,307.27, 21,111.50 and 10,784.94

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Solution

The fourth proportional to 15,307.27, 21,111.50 and 10,784.94 is: 14,874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,307.27 : 21,111.50 = 10,784.94 : x
  2. Step 2: Convert to fraction form
    15,307.27/21,111.50 = 10,784.94/x
  3. Step 3: Cross multiply
    15,307.27x = 21,111.50 × 10,784.94
  4. Step 4: Simplify right side
    15,307.27x = 227,686,260.81
  5. Step 5: Solve for x
    x = 227,686,260.81/15,307.27
  6. Step 6: Final answer
    x = 14,874.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.