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Finding the Fourth Proportional to 13,985.16, 19,300.02 and 7,698.12

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Solution

The fourth proportional to 13,985.16, 19,300.02 and 7,698.12 is: 10,623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.16 : 19,300.02 = 7,698.12 : x
  2. Step 2: Convert to fraction form
    13,985.16/19,300.02 = 7,698.12/x
  3. Step 3: Cross multiply
    13,985.16x = 19,300.02 × 7,698.12
  4. Step 4: Simplify right side
    13,985.16x = 148,573,869.96
  5. Step 5: Solve for x
    x = 148,573,869.96/13,985.16
  6. Step 6: Final answer
    x = 10,623.68

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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.