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Finding the Fourth Proportional to 25,698.84, 38,547.64 and 11,847.84

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Solution

The fourth proportional to 25,698.84, 38,547.64 and 11,847.84 is: 17,771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,698.84 : 38,547.64 = 11,847.84 : x
  2. Step 2: Convert to fraction form
    25,698.84/38,547.64 = 11,847.84/x
  3. Step 3: Cross multiply
    25,698.84x = 38,547.64 × 11,847.84
  4. Step 4: Simplify right side
    25,698.84x = 456,706,271.10
  5. Step 5: Solve for x
    x = 456,706,271.10/25,698.84
  6. Step 6: Final answer
    x = 17,771.47

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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.