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Finding the Fourth Proportional to 16,165.95, 22,312.08 and 10,119.00

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Solution

The fourth proportional to 16,165.95, 22,312.08 and 10,119.00 is: 13,966.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.95 : 22,312.08 = 10,119.00 : x
  2. Step 2: Convert to fraction form
    16,165.95/22,312.08 = 10,119.00/x
  3. Step 3: Cross multiply
    16,165.95x = 22,312.08 × 10,119.00
  4. Step 4: Simplify right side
    16,165.95x = 225,775,825.96
  5. Step 5: Solve for x
    x = 225,775,825.96/16,165.95
  6. Step 6: Final answer
    x = 13,966.13

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1.5x scale

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.