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Finding the Fourth Proportional to 16,415.26, 24,623.02 and 7,054.63

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Solution

The fourth proportional to 16,415.26, 24,623.02 and 7,054.63 is: 10,582.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415.26 : 24,623.02 = 7,054.63 : x
  2. Step 2: Convert to fraction form
    16,415.26/24,623.02 = 7,054.63/x
  3. Step 3: Cross multiply
    16,415.26x = 24,623.02 × 7,054.63
  4. Step 4: Simplify right side
    16,415.26x = 173,706,242.84
  5. Step 5: Solve for x
    x = 173,706,242.84/16,415.26
  6. Step 6: Final answer
    x = 10,582.00

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1.5x scale

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.