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Finding the Fourth Proportional to 14,215.79, 19,610.34 and 10,852.77

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Solution

The fourth proportional to 14,215.79, 19,610.34 and 10,852.77 is: 14,971.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,215.79 : 19,610.34 = 10,852.77 : x
  2. Step 2: Convert to fraction form
    14,215.79/19,610.34 = 10,852.77/x
  3. Step 3: Cross multiply
    14,215.79x = 19,610.34 × 10,852.77
  4. Step 4: Simplify right side
    14,215.79x = 212,826,509.64
  5. Step 5: Solve for x
    x = 212,826,509.64/14,215.79
  6. Step 6: Final answer
    x = 14,971.14

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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.