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Finding the Fourth Proportional to 14,031.40, 21,036.30 and 7,875.40

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Solution

The fourth proportional to 14,031.40, 21,036.30 and 7,875.40 is: 11,807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031.40 : 21,036.30 = 7,875.40 : x
  2. Step 2: Convert to fraction form
    14,031.40/21,036.30 = 7,875.40/x
  3. Step 3: Cross multiply
    14,031.40x = 21,036.30 × 7,875.40
  4. Step 4: Simplify right side
    14,031.40x = 165,669,277.02
  5. Step 5: Solve for x
    x = 165,669,277.02/14,031.40
  6. Step 6: Final answer
    x = 11,807.04

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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.