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Finding the Fourth Proportional to 21,934.40, 32,917.80 and 14,536.40

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Solution

The fourth proportional to 21,934.40, 32,917.80 and 14,536.40 is: 21,815.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,934.40 : 32,917.80 = 14,536.40 : x
  2. Step 2: Convert to fraction form
    21,934.40/32,917.80 = 14,536.40/x
  3. Step 3: Cross multiply
    21,934.40x = 32,917.80 × 14,536.40
  4. Step 4: Simplify right side
    21,934.40x = 478,506,307.92
  5. Step 5: Solve for x
    x = 478,506,307.92/21,934.40
  6. Step 6: Final answer
    x = 21,815.34

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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.