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Finding the Fourth Proportional to 17,655.60, 26,461.80 and 7,784.40

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Solution

The fourth proportional to 17,655.60, 26,461.80 and 7,784.40 is: 11,667.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,655.60 : 26,461.80 = 7,784.40 : x
  2. Step 2: Convert to fraction form
    17,655.60/26,461.80 = 7,784.40/x
  3. Step 3: Cross multiply
    17,655.60x = 26,461.80 × 7,784.40
  4. Step 4: Simplify right side
    17,655.60x = 205,989,235.92
  5. Step 5: Solve for x
    x = 205,989,235.92/17,655.60
  6. Step 6: Final answer
    x = 11,667.08

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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.