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Finding the Fourth Proportional to 23,526, 32,465.92 and 13,590

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Solution

The fourth proportional to 23,526, 32,465.92 and 13,590 is: 18,754.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,526 : 32,465.92 = 13,590 : x
  2. Step 2: Convert to fraction form
    23,526/32,465.92 = 13,590/x
  3. Step 3: Cross multiply
    23,526x = 32,465.92 × 13,590
  4. Step 4: Simplify right side
    23,526x = 441,211,852.80
  5. Step 5: Solve for x
    x = 441,211,852.80/23,526
  6. Step 6: Final answer
    x = 18,754.22

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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.