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Finding the Fourth Proportional to 21,017.16, 31,526.64 and 9,783.05

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Solution

The fourth proportional to 21,017.16, 31,526.64 and 9,783.05 is: 14,674.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,017.16 : 31,526.64 = 9,783.05 : x
  2. Step 2: Convert to fraction form
    21,017.16/31,526.64 = 9,783.05/x
  3. Step 3: Cross multiply
    21,017.16x = 31,526.64 × 9,783.05
  4. Step 4: Simplify right side
    21,017.16x = 308,426,537.82
  5. Step 5: Solve for x
    x = 308,426,537.82/21,017.16
  6. Step 6: Final answer
    x = 14,674.99

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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.