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Finding the Fourth Proportional to 22,499.19, 31,038.54 and 13,065.93

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Solution

The fourth proportional to 22,499.19, 31,038.54 and 13,065.93 is: 18,024.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,499.19 : 31,038.54 = 13,065.93 : x
  2. Step 2: Convert to fraction form
    22,499.19/31,038.54 = 13,065.93/x
  3. Step 3: Cross multiply
    22,499.19x = 31,038.54 × 13,065.93
  4. Step 4: Simplify right side
    22,499.19x = 405,547,390.94
  5. Step 5: Solve for x
    x = 405,547,390.94/22,499.19
  6. Step 6: Final answer
    x = 18,024.98

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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.