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Finding the Fourth Proportional to 14,526, 20,045.88 and 7,902

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Solution

The fourth proportional to 14,526, 20,045.88 and 7,902 is: 10,904.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,526 : 20,045.88 = 7,902 : x
  2. Step 2: Convert to fraction form
    14,526/20,045.88 = 7,902/x
  3. Step 3: Cross multiply
    14,526x = 20,045.88 × 7,902
  4. Step 4: Simplify right side
    14,526x = 158,402,543.76
  5. Step 5: Solve for x
    x = 158,402,543.76/14,526
  6. Step 6: Final answer
    x = 10,904.76

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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.