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Finding the Fourth Proportional to 25,113.65, 34,657.40 and 14,210.91

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Solution

The fourth proportional to 25,113.65, 34,657.40 and 14,210.91 is: 19,611.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,113.65 : 34,657.40 = 14,210.91 : x
  2. Step 2: Convert to fraction form
    25,113.65/34,657.40 = 14,210.91/x
  3. Step 3: Cross multiply
    25,113.65x = 34,657.40 × 14,210.91
  4. Step 4: Simplify right side
    25,113.65x = 492,513,227.76
  5. Step 5: Solve for x
    x = 492,513,227.76/25,113.65
  6. Step 6: Final answer
    x = 19,611.38

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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.