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Finding the Fourth Proportional to 15,595.02, 23,396.04 and 5,206.50

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Solution

The fourth proportional to 15,595.02, 23,396.04 and 5,206.50 is: 7,810.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,595.02 : 23,396.04 = 5,206.50 : x
  2. Step 2: Convert to fraction form
    15,595.02/23,396.04 = 5,206.50/x
  3. Step 3: Cross multiply
    15,595.02x = 23,396.04 × 5,206.50
  4. Step 4: Simplify right side
    15,595.02x = 121,811,482.26
  5. Step 5: Solve for x
    x = 121,811,482.26/15,595.02
  6. Step 6: Final answer
    x = 7,810.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.