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Finding the Fourth Proportional to 14,675.60, 22,027.80 and 7,288.40

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Solution

The fourth proportional to 14,675.60, 22,027.80 and 7,288.40 is: 10,939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,675.60 : 22,027.80 = 7,288.40 : x
  2. Step 2: Convert to fraction form
    14,675.60/22,027.80 = 7,288.40/x
  3. Step 3: Cross multiply
    14,675.60x = 22,027.80 × 7,288.40
  4. Step 4: Simplify right side
    14,675.60x = 160,547,417.52
  5. Step 5: Solve for x
    x = 160,547,417.52/14,675.60
  6. Step 6: Final answer
    x = 10,939.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.