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Finding the Fourth Proportional to 25,858.40, 35,684.52 and 14,528

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Solution

The fourth proportional to 25,858.40, 35,684.52 and 14,528 is: 20,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,858.40 : 35,684.52 = 14,528 : x
  2. Step 2: Convert to fraction form
    25,858.40/35,684.52 = 14,528/x
  3. Step 3: Cross multiply
    25,858.40x = 35,684.52 × 14,528
  4. Step 4: Simplify right side
    25,858.40x = 518,424,706.56
  5. Step 5: Solve for x
    x = 518,424,706.56/25,858.40
  6. Step 6: Final answer
    x = 20,048.60

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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.