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Finding the Fourth Proportional to 15,931.19, 21,985.49 and 8,858.07

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Solution

The fourth proportional to 15,931.19, 21,985.49 and 8,858.07 is: 12,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,931.19 : 21,985.49 = 8,858.07 : x
  2. Step 2: Convert to fraction form
    15,931.19/21,985.49 = 8,858.07/x
  3. Step 3: Cross multiply
    15,931.19x = 21,985.49 × 8,858.07
  4. Step 4: Simplify right side
    15,931.19x = 194,749,009.40
  5. Step 5: Solve for x
    x = 194,749,009.40/15,931.19
  6. Step 6: Final answer
    x = 12,224.39

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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.