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Finding the Fourth Proportional to 11,870.40, 17,779.68 and 9,783.84

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Solution

The fourth proportional to 11,870.40, 17,779.68 and 9,783.84 is: 14,654.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.40 : 17,779.68 = 9,783.84 : x
  2. Step 2: Convert to fraction form
    11,870.40/17,779.68 = 9,783.84/x
  3. Step 3: Cross multiply
    11,870.40x = 17,779.68 × 9,783.84
  4. Step 4: Simplify right side
    11,870.40x = 173,953,544.37
  5. Step 5: Solve for x
    x = 173,953,544.37/11,870.40
  6. Step 6: Final answer
    x = 14,654.40

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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.