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Finding the Fourth Proportional to 25,533.76, 35,225.76 and 15,592

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Solution

The fourth proportional to 25,533.76, 35,225.76 and 15,592 is: 21,510.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,533.76 : 35,225.76 = 15,592 : x
  2. Step 2: Convert to fraction form
    25,533.76/35,225.76 = 15,592/x
  3. Step 3: Cross multiply
    25,533.76x = 35,225.76 × 15,592
  4. Step 4: Simplify right side
    25,533.76x = 549,240,049.92
  5. Step 5: Solve for x
    x = 549,240,049.92/25,533.76
  6. Step 6: Final answer
    x = 21,510.35

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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.