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Finding the Fourth Proportional to 21,064.21, 31,580.72 and 9,957.93

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Solution

The fourth proportional to 21,064.21, 31,580.72 and 9,957.93 is: 14,929.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,064.21 : 31,580.72 = 9,957.93 : x
  2. Step 2: Convert to fraction form
    21,064.21/31,580.72 = 9,957.93/x
  3. Step 3: Cross multiply
    21,064.21x = 31,580.72 × 9,957.93
  4. Step 4: Simplify right side
    21,064.21x = 314,478,599.11
  5. Step 5: Solve for x
    x = 314,478,599.11/21,064.21
  6. Step 6: Final answer
    x = 14,929.52

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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.