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Finding the Fourth Proportional to 13,835.90, 19,070.78 and 9,804.08

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Solution

The fourth proportional to 13,835.90, 19,070.78 and 9,804.08 is: 13,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835.90 : 19,070.78 = 9,804.08 : x
  2. Step 2: Convert to fraction form
    13,835.90/19,070.78 = 9,804.08/x
  3. Step 3: Cross multiply
    13,835.90x = 19,070.78 × 9,804.08
  4. Step 4: Simplify right side
    13,835.90x = 186,971,452.78
  5. Step 5: Solve for x
    x = 186,971,452.78/13,835.90
  6. Step 6: Final answer
    x = 13,513.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.