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Finding the Fourth Proportional to 21,503.34, 32,258.34 and 6,713.46

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Solution

The fourth proportional to 21,503.34, 32,258.34 and 6,713.46 is: 10,071.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,503.34 : 32,258.34 = 6,713.46 : x
  2. Step 2: Convert to fraction form
    21,503.34/32,258.34 = 6,713.46/x
  3. Step 3: Cross multiply
    21,503.34x = 32,258.34 × 6,713.46
  4. Step 4: Simplify right side
    21,503.34x = 216,565,075.26
  5. Step 5: Solve for x
    x = 216,565,075.26/21,503.34
  6. Step 6: Final answer
    x = 10,071.23

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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.