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Finding the Fourth Proportional to 15,030.76, 22,546.14 and 6,817

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Solution

The fourth proportional to 15,030.76, 22,546.14 and 6,817 is: 10,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,030.76 : 22,546.14 = 6,817 : x
  2. Step 2: Convert to fraction form
    15,030.76/22,546.14 = 6,817/x
  3. Step 3: Cross multiply
    15,030.76x = 22,546.14 × 6,817
  4. Step 4: Simplify right side
    15,030.76x = 153,697,036.38
  5. Step 5: Solve for x
    x = 153,697,036.38/15,030.76
  6. Step 6: Final answer
    x = 10,225.50

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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.