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Finding the Fourth Proportional to 16,655.84, 22,985.28 and 9,102.32

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Solution

The fourth proportional to 16,655.84, 22,985.28 and 9,102.32 is: 12,561.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,655.84 : 22,985.28 = 9,102.32 : x
  2. Step 2: Convert to fraction form
    16,655.84/22,985.28 = 9,102.32/x
  3. Step 3: Cross multiply
    16,655.84x = 22,985.28 × 9,102.32
  4. Step 4: Simplify right side
    16,655.84x = 209,219,373.85
  5. Step 5: Solve for x
    x = 209,219,373.85/16,655.84
  6. Step 6: Final answer
    x = 12,561.32

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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.