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Finding the Fourth Proportional to 23,298.84, 32,152.95 and 13,225.41

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Solution

The fourth proportional to 23,298.84, 32,152.95 and 13,225.41 is: 18,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,298.84 : 32,152.95 = 13,225.41 : x
  2. Step 2: Convert to fraction form
    23,298.84/32,152.95 = 13,225.41/x
  3. Step 3: Cross multiply
    23,298.84x = 32,152.95 × 13,225.41
  4. Step 4: Simplify right side
    23,298.84x = 425,235,946.46
  5. Step 5: Solve for x
    x = 425,235,946.46/23,298.84
  6. Step 6: Final answer
    x = 18,251.38

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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.