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Finding the Fourth Proportional to 15,209.60, 22,814.40 and 14,364.80

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Solution

The fourth proportional to 15,209.60, 22,814.40 and 14,364.80 is: 21,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,209.60 : 22,814.40 = 14,364.80 : x
  2. Step 2: Convert to fraction form
    15,209.60/22,814.40 = 14,364.80/x
  3. Step 3: Cross multiply
    15,209.60x = 22,814.40 × 14,364.80
  4. Step 4: Simplify right side
    15,209.60x = 327,724,293.12
  5. Step 5: Solve for x
    x = 327,724,293.12/15,209.60
  6. Step 6: Final answer
    x = 21,547.20

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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.