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Finding the Fourth Proportional to 15,017.76, 22,526.64 and 6,804

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Solution

The fourth proportional to 15,017.76, 22,526.64 and 6,804 is: 10,206

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,017.76 : 22,526.64 = 6,804 : x
  2. Step 2: Convert to fraction form
    15,017.76/22,526.64 = 6,804/x
  3. Step 3: Cross multiply
    15,017.76x = 22,526.64 × 6,804
  4. Step 4: Simplify right side
    15,017.76x = 153,271,258.56
  5. Step 5: Solve for x
    x = 153,271,258.56/15,017.76
  6. Step 6: Final answer
    x = 10,206

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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.