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Finding the Fourth Proportional to 13,209.60, 19,792.80 and 9,710.40

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Solution

The fourth proportional to 13,209.60, 19,792.80 and 9,710.40 is: 14,549.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.60 : 19,792.80 = 9,710.40 : x
  2. Step 2: Convert to fraction form
    13,209.60/19,792.80 = 9,710.40/x
  3. Step 3: Cross multiply
    13,209.60x = 19,792.80 × 9,710.40
  4. Step 4: Simplify right side
    13,209.60x = 192,196,005.12
  5. Step 5: Solve for x
    x = 192,196,005.12/13,209.60
  6. Step 6: Final answer
    x = 14,549.72

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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.