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Finding the Fourth Proportional to 14,011.60, 21,017.40 and 9,783.40

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Solution

The fourth proportional to 14,011.60, 21,017.40 and 9,783.40 is: 14,675.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,011.60 : 21,017.40 = 9,783.40 : x
  2. Step 2: Convert to fraction form
    14,011.60/21,017.40 = 9,783.40/x
  3. Step 3: Cross multiply
    14,011.60x = 21,017.40 × 9,783.40
  4. Step 4: Simplify right side
    14,011.60x = 205,621,631.16
  5. Step 5: Solve for x
    x = 205,621,631.16/14,011.60
  6. Step 6: Final answer
    x = 14,675.10

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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.