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Finding the Fourth Proportional to 15,655.14, 23,482.71 and 7,756.02

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Solution

The fourth proportional to 15,655.14, 23,482.71 and 7,756.02 is: 11,634.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,655.14 : 23,482.71 = 7,756.02 : x
  2. Step 2: Convert to fraction form
    15,655.14/23,482.71 = 7,756.02/x
  3. Step 3: Cross multiply
    15,655.14x = 23,482.71 × 7,756.02
  4. Step 4: Simplify right side
    15,655.14x = 182,132,368.41
  5. Step 5: Solve for x
    x = 182,132,368.41/15,655.14
  6. Step 6: Final answer
    x = 11,634.03

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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.